TSTP Solution File: GRP666+6 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP666+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:20:28 EDT 2022
% Result : Theorem 71.73s 72.11s
% Output : Refutation 71.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP666+6 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 09:37:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.42/1.01 ============================== Prover9 ===============================
% 0.42/1.01 Prover9 (32) version 2009-11A, November 2009.
% 0.42/1.01 Process 6907 was started by sandbox2 on n011.cluster.edu,
% 0.42/1.01 Mon Jun 13 09:37:19 2022
% 0.42/1.01 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_6754_n011.cluster.edu".
% 0.42/1.01 ============================== end of head ===========================
% 0.42/1.01
% 0.42/1.01 ============================== INPUT =================================
% 0.42/1.01
% 0.42/1.01 % Reading from file /tmp/Prover9_6754_n011.cluster.edu
% 0.42/1.01
% 0.42/1.01 set(prolog_style_variables).
% 0.42/1.01 set(auto2).
% 0.42/1.01 % set(auto2) -> set(auto).
% 0.42/1.01 % set(auto) -> set(auto_inference).
% 0.42/1.01 % set(auto) -> set(auto_setup).
% 0.42/1.01 % set(auto_setup) -> set(predicate_elim).
% 0.42/1.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/1.01 % set(auto) -> set(auto_limits).
% 0.42/1.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/1.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/1.01 % set(auto) -> set(auto_denials).
% 0.42/1.01 % set(auto) -> set(auto_process).
% 0.42/1.01 % set(auto2) -> assign(new_constants, 1).
% 0.42/1.01 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/1.01 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/1.01 % set(auto2) -> assign(max_hours, 1).
% 0.42/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/1.01 % set(auto2) -> assign(max_seconds, 0).
% 0.42/1.01 % set(auto2) -> assign(max_minutes, 5).
% 0.42/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/1.01 % set(auto2) -> set(sort_initial_sos).
% 0.42/1.01 % set(auto2) -> assign(sos_limit, -1).
% 0.42/1.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/1.01 % set(auto2) -> assign(max_megs, 400).
% 0.42/1.01 % set(auto2) -> assign(stats, some).
% 0.42/1.01 % set(auto2) -> clear(echo_input).
% 0.42/1.01 % set(auto2) -> set(quiet).
% 0.42/1.01 % set(auto2) -> clear(print_initial_clauses).
% 0.42/1.01 % set(auto2) -> clear(print_given).
% 0.42/1.01 assign(lrs_ticks,-1).
% 0.42/1.01 assign(sos_limit,10000).
% 0.42/1.01 assign(order,kbo).
% 0.42/1.01 set(lex_order_vars).
% 0.42/1.01 clear(print_given).
% 0.42/1.01
% 0.42/1.01 % formulas(sos). % not echoed (12 formulas)
% 0.42/1.01
% 0.42/1.01 ============================== end of input ==========================
% 0.42/1.01
% 0.42/1.01 % From the command line: assign(max_seconds, 300).
% 0.42/1.01
% 0.42/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/1.01
% 0.42/1.01 % Formulas that are not ordinary clauses:
% 0.42/1.01 1 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 2 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 3 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 4 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 5 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 6 (all A mult(unit,A) = A) # label(f06) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 7 (all D all C all B all A ld(mult(A,B),mult(A,mult(B,mult(C,D)))) = mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D))))) # label(f07) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 8 (all D all C all B all A rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D)))) # label(f08) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 9 (all C all B all A ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A)))) # label(f09) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 10 (all B all A mult(i(A),mult(A,B)) = B) # label(f10) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 11 (all B all A mult(mult(A,B),i(B)) = A) # label(f11) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.01 12 -((all X0 all X1 all X2 mult(X2,mult(X0,mult(X2,X1))) = mult(mult(mult(X2,X0),X2),X1)) | (all X3 all X4 all X5 mult(X3,mult(X5,mult(X4,X5))) = mult(mult(mult(X3,X5),X4),X5)) | (all X6 all X7 all X8 mult(mult(X8,X6),mult(X7,X8)) = mult(mult(X8,mult(X6,X7)),X8)) | (all X9 all X10 all X11 mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11)))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/1.01
% 0.42/1.01 ============================== end of process non-clausal formulas ===
% 0.42/1.01
% 0.42/1.01 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/1.01
% 0.42/1.01 ============================== PREDICATE ELIMINATION =================
% 71.73/72.11
% 71.73/72.11 ============================== end predicate elimination =============
% 71.73/72.11
% 71.73/72.11 Auto_denials:
% 71.73/72.11 % copying label goals to answer in negative clause
% 71.73/72.11 % copying label goals to answer in negative clause
% 71.73/72.11 % copying label goals to answer in negative clause
% 71.73/72.11 % copying label goals to answer in negative clause
% 71.73/72.11 % assign(max_proofs, 4). % (Horn set with more than one neg. clause)
% 71.73/72.11
% 71.73/72.11 Term ordering decisions:
% 71.73/72.11
% 71.73/72.11 % Assigning unary symbol i kb_weight 0 and highest precedence (18).
% 71.73/72.11 Function symbol KB weights: unit=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. mult=1. ld=1. rd=1. i=0.
% 71.73/72.11
% 71.73/72.11 ============================== end of process initial clauses ========
% 71.73/72.11
% 71.73/72.11 ============================== CLAUSES FOR SEARCH ====================
% 71.73/72.11
% 71.73/72.11 ============================== end of clauses for search =============
% 71.73/72.11
% 71.73/72.11 ============================== SEARCH ================================
% 71.73/72.11
% 71.73/72.11 % Starting search at 0.01 seconds.
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=77.000, iters=3366
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=71.000, iters=3393
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=68.000, iters=3426
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=61.000, iters=3406
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=59.000, iters=3376
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=57.000, iters=3343
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=55.000, iters=3420
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=53.000, iters=3393
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=52.000, iters=3390
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=51.000, iters=3344
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=49.000, iters=3361
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=48.000, iters=3344
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=47.000, iters=3371
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=46.000, iters=3336
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=45.000, iters=3391
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=44.000, iters=3349
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=43.000, iters=3353
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=42.000, iters=3363
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=41.000, iters=3485
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=40.000, iters=3355
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=39.000, iters=3344
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=38.000, iters=3340
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=37.000, iters=3337
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=36.000, iters=3365
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=35.000, iters=3360
% 71.73/72.11
% 71.73/72.11 Low Water (displace): id=7169, wt=197.000
% 71.73/72.11
% 71.73/72.11 Low Water (displace): id=7211, wt=196.000
% 71.73/72.11
% 71.73/72.11 Low Water (displace): id=6393, wt=195.000
% 71.73/72.11
% 71.73/72.11 Low Water (displace): id=6152, wt=191.000
% 71.73/72.11
% 71.73/72.11 Low Water (displace): id=7223, wt=187.000
% 71.73/72.11
% 71.73/72.11 Low Water (displace): id=13868, wt=28.000
% 71.73/72.11
% 71.73/72.11 Low Water (displace): id=13886, wt=26.000
% 71.73/72.11
% 71.73/72.11 Low Water (displace): id=13888, wt=23.000
% 71.73/72.11
% 71.73/72.11 Low Water (displace): id=15159, wt=22.000
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=34.000, iters=3346
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=33.000, iters=3333
% 71.73/72.11
% 71.73/72.11 Low Water (displace): id=19060, wt=21.000
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=32.000, iters=3339
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=31.000, iters=3380
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=30.000, iters=3338
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=29.000, iters=3336
% 71.73/72.11
% 71.73/72.11 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 45 (0.00 of 31.29 sec).
% 71.73/72.11
% 71.73/72.11 Low Water (keep): wt=28.000, iters=3346
% 71.73/72.11
% 71.73/72.11 ============================== PROOF =================================
% 71.73/72.11 % SZS status Theorem
% 71.73/72.11 % SZS output start Refutation
% 71.73/72.11
% 71.73/72.11 % Proof 1 at 70.40 (+ 0.71) seconds: goals.
% 71.73/72.11 % Length of proof is 269.
% 71.73/72.11 % Level of proof is 37.
% 71.73/72.11 % Maximum clause weight is 66.000.
% 71.73/72.11 % Given clauses 838.
% 71.73/72.11
% 71.73/72.11 1 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption].
% 71.73/72.11 3 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption].
% 71.73/72.11 4 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption].
% 71.73/72.11 5 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption].
% 71.73/72.11 6 (all A mult(unit,A) = A) # label(f06) # label(axiom) # label(non_clause). [assumption].
% 71.73/72.11 7 (all D all C all B all A ld(mult(A,B),mult(A,mult(B,mult(C,D)))) = mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D))))) # label(f07) # label(axiom) # label(non_clause). [assumption].
% 71.73/72.11 8 (all D all C all B all A rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D)))) # label(f08) # label(axiom) # label(non_clause). [assumption].
% 71.73/72.11 9 (all C all B all A ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A)))) # label(f09) # label(axiom) # label(non_clause). [assumption].
% 71.73/72.11 10 (all B all A mult(i(A),mult(A,B)) = B) # label(f10) # label(axiom) # label(non_clause). [assumption].
% 71.73/72.11 11 (all B all A mult(mult(A,B),i(B)) = A) # label(f11) # label(axiom) # label(non_clause). [assumption].
% 71.73/72.11 12 -((all X0 all X1 all X2 mult(X2,mult(X0,mult(X2,X1))) = mult(mult(mult(X2,X0),X2),X1)) | (all X3 all X4 all X5 mult(X3,mult(X5,mult(X4,X5))) = mult(mult(mult(X3,X5),X4),X5)) | (all X6 all X7 all X8 mult(mult(X8,X6),mult(X7,X8)) = mult(mult(X8,mult(X6,X7)),X8)) | (all X9 all X10 all X11 mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11)))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption].
% 71.73/72.11 13 mult(A,unit) = A # label(f05) # label(axiom). [clausify(5)].
% 71.73/72.11 14 mult(unit,A) = A # label(f06) # label(axiom). [clausify(6)].
% 71.73/72.11 15 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(1)].
% 71.73/72.11 17 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(3)].
% 71.73/72.11 18 rd(mult(A,B),B) = A # label(f04) # label(axiom). [clausify(4)].
% 71.73/72.11 19 mult(i(A),mult(A,B)) = B # label(f10) # label(axiom). [clausify(10)].
% 71.73/72.11 20 mult(mult(A,B),i(B)) = A # label(f11) # label(axiom). [clausify(11)].
% 71.73/72.11 21 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)) # label(f09) # label(axiom). [clausify(9)].
% 71.73/72.11 22 mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D)))) # label(f07) # label(axiom). [clausify(7)].
% 71.73/72.11 23 rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) # label(f08) # label(axiom). [clausify(8)].
% 71.73/72.11 24 mult(rd(mult(mult(A,B),C),mult(B,C)),rd(mult(mult(D,B),C),mult(B,C))) = rd(mult(mult(mult(A,D),B),C),mult(B,C)). [copy(23),flip(a)].
% 71.73/72.11 27 mult(mult(c9,mult(c7,c8)),c9) != mult(mult(c9,c7),mult(c8,c9)) # label(goals) # label(negated_conjecture) # answer(goals). [clausify(12)].
% 71.73/72.11 34 rd(A,ld(B,A)) = B. [para(15(a,1),18(a,1,1))].
% 71.73/72.11 35 mult(i(A),A) = unit. [para(13(a,1),19(a,1,2))].
% 71.73/72.11 37 ld(A,B) = mult(i(A),B). [para(15(a,1),19(a,1,2)),flip(a)].
% 71.73/72.11 40 rd(A,mult(B,A)) = i(B). [para(19(a,1),18(a,1,1))].
% 71.73/72.11 41 i(i(A)) = A. [back_rewrite(34),rewrite([37(1),40(3)])].
% 71.73/72.11 42 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,D)))). [back_rewrite(22),rewrite([37(4),37(9),37(16)])].
% 71.73/72.11 43 mult(mult(i(A),mult(B,A)),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(21),rewrite([37(2),37(5),37(10)])].
% 71.73/72.11 44 mult(A,mult(i(A),B)) = B. [back_rewrite(15),rewrite([37(1)])].
% 71.73/72.11 46 mult(A,i(A)) = unit. [para(14(a,1),20(a,1,1))].
% 71.73/72.11 47 rd(A,B) = mult(A,i(B)). [para(17(a,1),20(a,1,1)),flip(a)].
% 71.73/72.11 48 mult(i(mult(A,B)),A) = i(B). [para(20(a,1),19(a,1,2))].
% 71.73/72.11 50 mult(mult(mult(mult(A,B),C),i(mult(B,C))),mult(mult(mult(D,B),C),i(mult(B,C)))) = mult(mult(mult(mult(A,D),B),C),i(mult(B,C))). [back_rewrite(24),rewrite([47(4),47(9),47(16)])].
% 71.73/72.11 51 mult(mult(A,i(B)),B) = A. [back_rewrite(17),rewrite([47(1)])].
% 71.73/72.11 54 mult(mult(i(A),mult(i(B),mult(mult(B,A),C))),mult(i(A),mult(i(B),mult(mult(B,A),D)))) = mult(i(A),mult(i(B),mult(mult(B,A),mult(C,D)))). [para(19(a,1),42(a,1,1,1,1)),rewrite([19(9),19(16)])].
% 71.73/72.11 57 mult(A,mult(i(mult(B,i(A))),mult(B,mult(i(A),C)))) = mult(i(mult(B,i(A))),mult(B,C)). [para(19(a,1),42(a,2,2,2)),rewrite([35(5),13(5),48(4),41(2)])].
% 71.73/72.11 59 mult(mult(i(A),mult(mult(A,B),mult(i(B),C))),mult(i(A),mult(mult(A,B),mult(i(B),D)))) = mult(i(A),mult(mult(A,B),mult(i(B),mult(C,D)))). [para(20(a,1),42(a,1,1,1,1)),rewrite([20(9),20(16)])].
% 71.73/72.11 64 mult(mult(A,mult(i(mult(B,A)),mult(B,C))),A) = mult(A,mult(i(mult(B,A)),mult(B,mult(C,A)))). [para(35(a,1),42(a,1,2,2)),rewrite([48(3),41(2),48(8),41(7),13(7),48(9),41(8)])].
% 71.73/72.11 66 mult(i(A),mult(i(mult(B,A)),mult(B,mult(A,C)))) = mult(i(mult(B,A)),mult(B,C)). [para(46(a,1),42(a,1,1,2,2)),rewrite([13(4),48(3),44(12)])].
% 71.73/72.11 73 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),mult(i(A),mult(B,mult(mult(i(B),A),D)))) = mult(i(A),mult(B,mult(mult(i(B),A),mult(C,D)))). [para(44(a,1),42(a,1,1,1,1)),rewrite([44(9),44(16)])].
% 71.73/72.11 74 mult(mult(i(mult(A,B)),mult(A,C)),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(mult(i(B),C),D)))). [para(44(a,1),42(a,1,1,2,2))].
% 71.73/72.11 75 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,D))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,mult(i(B),D))))). [para(44(a,1),42(a,1,2,2,2))].
% 71.73/72.11 76 i(mult(A,B)) = mult(i(B),i(A)). [para(19(a,1),48(a,1,1,1)),flip(a)].
% 71.73/72.11 77 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),mult(mult(i(A),i(B)),mult(B,D))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,mult(i(A),D))))). [back_rewrite(75),rewrite([76(2),76(8),76(14)])].
% 71.73/72.11 78 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(mult(i(A),i(B)),mult(B,mult(A,D)))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(mult(i(A),C),D)))). [back_rewrite(74),rewrite([76(2),76(7),76(14)])].
% 71.73/72.11 83 mult(i(A),mult(mult(i(A),i(B)),mult(B,mult(A,C)))) = mult(mult(i(A),i(B)),mult(B,C)). [back_rewrite(66),rewrite([76(3),76(10)])].
% 71.73/72.11 85 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),A) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(64),rewrite([76(2),76(9)])].
% 71.73/72.11 89 mult(A,mult(mult(A,i(B)),mult(B,mult(i(A),C)))) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(57),rewrite([76(3),41(2),76(10),41(9)])].
% 71.73/72.11 91 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(mult(D,B),C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,D),B),C),mult(i(C),i(B))). [back_rewrite(50),rewrite([76(4),76(10),76(18)])].
% 71.73/72.11 94 mult(i(A),mult(mult(A,B),A)) = mult(B,A). [para(19(a,1),43(a,1,1)),rewrite([44(4)]),flip(a)].
% 71.73/72.11 95 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(mult(i(A),i(B)),A)) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [para(19(a,1),43(a,1,2,2)),rewrite([76(2),76(8),76(13)])].
% 71.73/72.11 99 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(20(a,1),43(a,1,1,2)),rewrite([41(2),41(3),41(7)])].
% 71.73/72.11 100 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(20(a,1),43(a,1,2,2)),rewrite([41(2),41(5),41(7)])].
% 71.73/72.11 107 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(mult(i(A),B),A)) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [para(44(a,1),43(a,1,2,2)),rewrite([76(3),41(3),76(9),41(9),76(13),41(13)])].
% 71.73/72.11 109 mult(mult(i(A),B),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(mult(B,i(A)),C),A)). [para(51(a,1),43(a,1,1,2))].
% 71.73/72.11 110 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(51(a,1),43(a,1,2,2))].
% 71.73/72.11 114 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(76(a,1),19(a,1,1))].
% 71.73/72.11 115 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(76(a,1),20(a,1,2))].
% 71.73/72.11 116 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(76(a,1),35(a,1,1))].
% 71.73/72.11 117 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(76(a,1),46(a,1,2))].
% 71.73/72.11 118 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(76(a,1),44(a,1,2,1))].
% 71.73/72.11 119 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(76(a,1),51(a,1,1,2))].
% 71.73/72.11 121 mult(mult(i(A),B),mult(i(B),A)) = unit. [para(41(a,1),116(a,1,1,2))].
% 71.73/72.11 128 mult(mult(mult(mult(i(A),mult(i(B),i(C))),C),B),mult(i(B),mult(i(C),mult(mult(C,B),mult(A,D))))) = mult(i(B),mult(i(C),mult(mult(C,B),D))). [para(54(a,1),19(a,1,2)),rewrite([76(7),76(5),76(3),76(3),41(7),41(8)])].
% 71.73/72.11 130 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),mult(A,mult(mult(i(A),i(B)),mult(B,D)))) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,D)))). [para(20(a,1),54(a,1,1,2,2,1)),rewrite([41(2),76(2),41(8),76(8),20(12),41(15),76(15),20(19)])].
% 71.73/72.11 133 mult(mult(A,mult(i(B),mult(mult(B,i(A)),C))),mult(A,mult(i(B),mult(mult(B,i(A)),D)))) = mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,D)))). [para(41(a,1),54(a,1,1,1)),rewrite([41(8),41(15)])].
% 71.73/72.11 134 mult(mult(i(A),i(B)),mult(i(A),mult(i(B),mult(mult(B,A),C)))) = mult(i(A),mult(i(B),C)). [para(46(a,1),54(a,1,1,2,2)),rewrite([13(4),76(15),118(18)])].
% 71.73/72.11 137 mult(mult(i(A),mult(i(B),C)),mult(i(A),mult(i(B),mult(mult(B,A),D)))) = mult(i(A),mult(i(B),mult(mult(B,A),mult(mult(mult(i(A),i(B)),C),D)))). [para(44(a,1),54(a,1,1,2,2)),rewrite([76(16)])].
% 71.73/72.11 161 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(94(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.73/72.11 162 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(19(a,1),94(a,1,2,1)),rewrite([41(2)]),flip(a)].
% 71.73/72.11 165 mult(mult(i(A),i(B)),mult(B,mult(B,A))) = mult(i(A),mult(B,A)). [para(20(a,1),94(a,1,2,1)),rewrite([76(2)])].
% 71.73/72.11 166 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(44(a,1),94(a,1,2,1)),flip(a)].
% 71.73/72.11 172 mult(A,mult(mult(mult(i(A),i(B)),mult(B,C)),A)) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(85),rewrite([161(7)])].
% 71.73/72.11 173 mult(mult(c9,c7),mult(c8,c9)) != mult(c9,mult(mult(c7,c8),c9)) # answer(goals). [back_rewrite(27),rewrite([161(7)]),flip(a)].
% 71.73/72.11 180 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [back_rewrite(107),rewrite([166(9)])].
% 71.73/72.11 182 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(i(A),mult(i(B),A))) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(95),rewrite([166(10)])].
% 71.73/72.11 184 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(161(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.73/72.11 186 mult(mult(A,B),mult(i(B),mult(A,B))) = mult(A,mult(A,B)). [para(20(a,1),161(a,1,1)),flip(a)].
% 71.73/72.11 196 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(41(a,1),114(a,1,1,2))].
% 71.73/72.11 202 mult(mult(mult(mult(i(A),B),mult(i(B),i(C))),C),mult(i(C),mult(mult(C,B),mult(i(B),mult(A,D))))) = mult(i(C),mult(mult(C,B),mult(i(B),D))). [para(59(a,1),19(a,1,2)),rewrite([76(7),76(5),76(3),41(3),76(4),41(8)])].
% 71.73/72.11 204 mult(mult(i(A),mult(mult(A,B),C)),mult(i(A),mult(mult(A,B),mult(i(B),D)))) = mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),D)))). [para(19(a,1),59(a,1,1,2,2))].
% 71.73/72.11 206 mult(A,mult(i(B),mult(mult(B,A),mult(i(A),C)))) = mult(i(B),mult(mult(B,A),C)). [para(19(a,1),59(a,2,2,2)),rewrite([35(4),13(4),19(3)])].
% 71.73/72.11 223 mult(mult(i(A),B),mult(i(B),mult(mult(A,mult(mult(A,C),i(B))),B))) = mult(A,mult(mult(i(A),B),mult(i(B),mult(mult(A,mult(C,i(B))),B)))). [para(161(a,1),59(a,1,1,2)),rewrite([76(3),41(3),44(7),196(6),76(3),41(3),166(5),110(8),76(13),41(13),166(15),110(19)]),flip(a)].
% 71.73/72.11 230 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(41(a,1),115(a,1,2,2))].
% 71.73/72.11 249 mult(mult(A,mult(i(B),i(A))),mult(mult(A,mult(B,i(A))),C)) = C. [para(162(a,1),114(a,1,2,1)),rewrite([41(2),76(2)])].
% 71.73/72.11 275 mult(mult(A,mult(B,C)),mult(A,mult(B,mult(mult(i(B),i(A)),D)))) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(mult(mult(A,B),C),D)))). [para(114(a,1),73(a,1,1,2,2)),rewrite([41(2),41(4),41(11)])].
% 71.73/72.11 276 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(A,mult(B,D))) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,mult(mult(A,B),D))))). [para(114(a,1),73(a,1,2,2,2)),rewrite([41(2),41(8),41(11)])].
% 71.73/72.11 285 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(B,mult(i(A),mult(B,mult(mult(i(B),A),C)))). [para(162(a,1),73(a,1,1,2,2)),rewrite([41(4),44(5),19(3),41(12)]),flip(a)].
% 71.73/72.11 286 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),B) = mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))). [para(162(a,1),73(a,1,2,2,2)),rewrite([41(10),44(11),19(9),41(12)])].
% 71.73/72.11 289 mult(mult(i(A),B),mult(i(B),mult(A,B))) = B. [para(166(a,1),19(a,1,2)),rewrite([76(3),41(3)])].
% 71.73/72.11 293 mult(mult(i(A),mult(i(B),A)),mult(mult(i(A),mult(B,A)),C)) = C. [para(166(a,1),114(a,1,2,1)),rewrite([76(4),41(4)])].
% 71.73/72.11 299 mult(mult(i(A),mult(B,A)),mult(i(B),A)) = mult(mult(i(A),B),mult(A,mult(i(B),A))). [para(166(a,1),162(a,1,1)),rewrite([76(6),41(6),76(11),41(11)])].
% 71.73/72.11 330 mult(mult(A,i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(A,i(B)),mult(B,C))). [para(19(a,1),77(a,2,2,2)),rewrite([41(2),35(4),13(4),51(3),41(2),41(7),41(9)]),flip(a)].
% 71.73/72.11 383 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(A,B),mult(i(B),C))))) = mult(mult(A,B),mult(A,mult(mult(i(A),i(B)),C))). [para(184(a,1),77(a,1,1,2)),rewrite([76(5),41(3),41(3),19(3),76(6),41(4),41(4),19(4),76(12),41(10),41(10),19(10)]),flip(a)].
% 71.73/72.11 424 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(289(a,1),161(a,2,2)),rewrite([299(6),180(10),166(11)])].
% 71.73/72.11 435 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(mult(i(C),i(B)),mult(B,mult(C,mult(mult(i(C),A),D))))) = mult(mult(i(C),i(B)),mult(B,mult(C,D))). [para(78(a,1),19(a,1,2)),rewrite([76(6),76(2),76(7),41(5),41(5)])].
% 71.73/72.11 440 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(35(a,1),78(a,1,2,2,2)),rewrite([41(2),41(6),13(8),51(7),41(7),41(10),161(10),19(11)])].
% 71.73/72.11 457 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),i(A))))) = mult(i(A),mult(mult(mult(A,B),C),i(A))). [para(117(a,1),78(a,1,2,2)),rewrite([41(2),76(2),44(4),41(6),76(6),44(8),13(7),161(6),41(8),76(8),44(10),41(11)]),flip(a)].
% 71.73/72.11 470 mult(mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),D),mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),mult(mult(D,mult(C,B)),mult(A,E)))) = mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),mult(mult(D,mult(C,B)),mult(A,mult(mult(i(A),mult(i(B),i(C))),E)))). [para(115(a,1),78(a,1,1,2)),rewrite([76(4),76(3),76(12),76(11),76(25),76(24)])].
% 71.73/72.11 476 mult(mult(mult(i(A),mult(mult(B,C),i(D))),D),mult(mult(i(A),mult(mult(B,C),i(D))),mult(mult(D,mult(i(C),i(B))),mult(A,E)))) = mult(mult(i(A),mult(mult(B,C),i(D))),mult(mult(D,mult(i(C),i(B))),mult(A,mult(mult(i(A),mult(B,C)),E)))). [para(119(a,1),78(a,1,1,2)),rewrite([76(6),76(5),41(3),41(3),76(12),76(11),41(9),41(9),76(25),76(24),41(22),41(22)])].
% 71.73/72.11 746 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(83(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.73/72.11 751 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(35(a,1),83(a,1,2,2,2)),rewrite([41(2),41(2),13(4),51(3),41(3)]),flip(a)].
% 71.73/72.11 768 mult(mult(A,mult(mult(i(A),i(B)),i(C))),mult(mult(C,mult(B,A)),i(B))) = mult(A,mult(mult(A,mult(mult(i(A),i(B)),i(C))),C)). [para(115(a,1),83(a,1,2,2)),rewrite([41(2),41(2),76(3),76(2),41(10),76(11),76(10)]),flip(a)].
% 71.73/72.11 771 mult(mult(mult(i(A),i(B)),mult(B,C)),A) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(83(a,1),162(a,1,1)),rewrite([41(7),746(13),41(15),161(14),172(14),19(15)])].
% 71.73/72.11 792 mult(mult(mult(i(A),B),i(C)),mult(C,mult(i(A),mult(B,A)))) = mult(mult(i(A),B),mult(mult(mult(i(A),B),i(C)),mult(C,A))). [para(289(a,1),83(a,1,2,2,2)),rewrite([76(3),41(3),76(5),41(5),76(12),41(12)]),flip(a)].
% 71.73/72.11 880 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(C,mult(mult(i(C),i(B)),mult(B,mult(mult(i(C),A),D))))) = mult(C,mult(mult(i(C),i(B)),mult(B,D))). [back_rewrite(435),rewrite([746(14),746(21)])].
% 71.73/72.11 903 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(751(a,1),19(a,1,2)),rewrite([76(3),41(2)])].
% 71.73/72.11 904 mult(mult(A,mult(B,A)),B) = mult(mult(A,B),mult(A,B)). [para(19(a,1),751(a,1,2)),rewrite([41(3),161(2)])].
% 71.73/72.11 906 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(20(a,1),751(a,1,1)),flip(a)].
% 71.73/72.11 908 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(41(a,1),751(a,1,1,2))].
% 71.73/72.11 909 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [para(51(a,1),751(a,1,2)),rewrite([76(3),41(2)])].
% 71.73/72.11 913 mult(mult(A,B),mult(i(B),i(B))) = mult(A,i(B)). [para(751(a,1),118(a,1,2))].
% 71.73/72.11 926 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [back_rewrite(904),rewrite([906(6)])].
% 71.73/72.11 927 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(424),rewrite([908(6)])].
% 71.73/72.11 952 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(20(a,1),903(a,1,1)),flip(a)].
% 71.73/72.11 986 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(B,mult(A,A))). [back_rewrite(927),rewrite([952(7)])].
% 71.73/72.11 1003 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(952(a,1),20(a,1,1))].
% 71.73/72.11 1017 mult(mult(A,mult(B,mult(C,mult(B,C)))),mult(i(C),i(B))) = mult(A,mult(B,C)). [para(952(a,1),115(a,1,1)),rewrite([906(3)])].
% 71.73/72.11 1179 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(909(a,1),51(a,1,1)),rewrite([41(4)])].
% 71.73/72.11 1187 mult(mult(A,mult(A,B)),B) = mult(A,mult(A,mult(B,B))). [para(909(a,1),903(a,1,1)),rewrite([1179(3),41(5)]),flip(a)].
% 71.73/72.11 1268 mult(mult(A,mult(A,mult(B,B))),i(B)) = mult(A,mult(A,B)). [para(1179(a,1),1003(a,1,1)),rewrite([1179(7)])].
% 71.73/72.11 1278 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(i(A),mult(mult(A,i(B)),mult(B,C))). [para(89(a,1),19(a,1,2)),flip(a)].
% 71.73/72.11 1457 mult(mult(A,mult(B,mult(A,B))),C) = mult(mult(A,B),mult(mult(A,B),C)). [para(906(a,1),1179(a,1,1))].
% 71.73/72.11 1475 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),B) = mult(mult(mult(A,C),mult(i(C),i(B))),mult(B,B)). [para(46(a,1),91(a,1,2,1)),rewrite([76(3),76(7),76(9),41(7),41(7),20(8),76(9),76(11),41(9),41(9),20(10),14(8),952(7),76(11),76(15),76(17),41(15),41(15),20(16)]),flip(a)].
% 71.73/72.11 1688 mult(mult(A,mult(B,A)),i(B)) = mult(mult(A,B),mult(A,i(B))). [para(926(a,1),913(a,1,1)),rewrite([1457(7),913(6)]),flip(a)].
% 71.73/72.12 1816 mult(A,mult(mult(mult(B,A),mult(C,A)),i(A))) = mult(mult(A,B),mult(A,C)). [para(20(a,1),99(a,1,2,2)),flip(a)].
% 71.73/72.12 1819 mult(mult(A,mult(i(B),i(A))),mult(i(C),i(A))) = mult(A,mult(mult(i(B),mult(i(A),i(C))),i(A))). [para(99(a,1),76(a,1,1)),rewrite([76(6),76(5),41(2),76(3),76(3),162(8),76(12),76(11),41(10),162(12),76(14)]),flip(a)].
% 71.73/72.12 1910 mult(mult(i(A),B),mult(A,B)) = mult(i(A),mult(B,mult(A,B))). [para(19(a,1),1187(a,1,1,2)),rewrite([906(9),19(10)])].
% 71.73/72.12 2042 mult(mult(i(A),i(B)),mult(B,mult(i(C),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),i(C)),i(B))). [para(100(a,1),76(a,1,1)),rewrite([76(6),76(5),41(2),76(3),76(2),162(8),76(10),76(15),76(14),41(13),162(15)]),flip(a)].
% 71.73/72.12 2477 mult(mult(A,B),mult(i(B),mult(i(A),C))) = mult(i(B),mult(i(A),mult(mult(A,B),C))). [para(35(a,1),128(a,1,1,1,1)),rewrite([14(2),118(9)])].
% 71.73/72.12 2509 mult(mult(i(A),B),mult(i(B),mult(A,C))) = mult(i(B),mult(A,mult(mult(i(A),B),C))). [para(196(a,1),128(a,1,2,2,2)),rewrite([76(3),41(3),41(5),121(5),14(3),41(5),41(9)])].
% 71.73/72.12 2744 mult(i(A),mult(B,mult(mult(i(B),i(A)),mult(A,C)))) = mult(B,mult(mult(i(B),i(A)),C)). [para(46(a,1),130(a,1,1,2,2)),rewrite([13(5),44(4),44(14)])].
% 71.73/72.12 3225 mult(mult(i(A),mult(B,mult(A,B))),mult(i(B),i(A))) = mult(i(A),B). [para(19(a,1),1268(a,2,2)),rewrite([906(5),19(6),76(6)])].
% 71.73/72.12 3227 mult(mult(A,mult(B,mult(i(A),B))),mult(i(B),A)) = mult(A,B). [para(44(a,1),1268(a,2,2)),rewrite([906(5),44(6),76(7),41(7)])].
% 71.73/72.12 3230 mult(mult(mult(i(A),i(B)),mult(C,mult(mult(B,A),C))),mult(i(C),mult(i(A),i(B)))) = mult(mult(i(A),i(B)),C). [para(114(a,1),1268(a,2,2)),rewrite([906(11),114(12),76(10),76(10)])].
% 71.73/72.12 3328 mult(mult(A,mult(i(B),mult(mult(B,i(A)),C))),B) = mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))). [para(161(a,1),133(a,1,2,2,2)),rewrite([19(11),44(9)])].
% 71.73/72.12 3339 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),B) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))). [para(166(a,1),133(a,1,2,2,2)),rewrite([41(2),41(8),44(11),44(9),41(9)])].
% 71.73/72.12 3632 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(114(a,1),134(a,1,2,2,2)),rewrite([41(2),41(2),41(3),41(3),41(6),41(6)])].
% 71.73/72.12 3649 mult(mult(A,i(B)),mult(A,B)) = mult(A,mult(i(B),mult(A,B))). [para(751(a,1),134(a,1,2,2,2)),rewrite([41(2),41(4),19(5),41(6)])].
% 71.73/72.12 4073 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(116(a,1),137(a,1,2,2,2)),rewrite([41(2),41(2),41(4),41(4),13(4),41(6),41(6),41(9),41(9),161(11),114(12)])].
% 71.73/72.12 7513 mult(mult(mult(i(A),i(B)),i(C)),mult(C,mult(C,mult(B,A)))) = mult(mult(i(A),i(B)),mult(C,mult(B,A))). [para(76(a,1),165(a,1,1,1)),rewrite([76(11)])].
% 71.73/72.12 7528 mult(mult(i(A),i(B)),mult(A,mult(B,A))) = mult(i(A),mult(mult(i(B),mult(A,B)),A)). [para(165(a,1),99(a,2,2,1)),rewrite([41(8),161(7),161(6),19(8),41(12)])].
% 71.73/72.12 7533 mult(mult(i(A),i(B)),mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),mult(C,mult(A,B))),i(B))). [para(100(a,1),165(a,1,2,2)),rewrite([76(2),76(7),76(6),41(5),162(7),2042(8),99(17),51(11),99(15),51(8),7513(9),76(11),100(17)]),flip(a)].
% 71.73/72.12 7970 mult(mult(i(A),mult(B,A)),B) = mult(i(A),mult(B,mult(A,B))). [para(3227(a,1),165(a,1,2,2)),rewrite([76(3),41(3),76(7),76(6),76(5),41(5),161(6),1688(8),196(9),4073(9),1910(7),746(10),44(8),7528(6),44(7),76(7),41(7),3227(13),1910(8)])].
% 71.73/72.12 8041 mult(mult(A,B),mult(B,A)) = mult(A,mult(B,mult(B,A))). [para(20(a,1),3649(a,1,2)),rewrite([41(3),952(2),161(3),1179(2),41(6),20(7)]),flip(a)].
% 71.73/72.12 8407 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),C) = mult(mult(i(A),i(B)),mult(C,mult(mult(B,A),C))). [para(115(a,1),8041(a,1,2)),rewrite([115(18),161(13)])].
% 71.73/72.12 10102 mult(mult(i(A),i(B)),mult(B,mult(mult(C,mult(mult(A,B),C)),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),mult(C,mult(mult(A,B),C))),i(B))). [para(99(a,1),7970(a,2,2,2)),rewrite([76(2),100(8),7533(9),99(13),51(9),8407(7),76(12),99(22),51(16)]),flip(a)].
% 71.73/72.12 11702 mult(mult(i(A),i(B)),mult(mult(mult(mult(B,A),C),i(B)),mult(B,A))) = mult(mult(C,mult(B,A)),mult(i(A),mult(i(B),A))). [para(161(a,1),182(a,1,1,2)),rewrite([114(8)]),flip(a)].
% 71.73/72.12 12176 mult(mult(mult(A,B),mult(i(B),i(C))),C) = mult(i(C),mult(mult(C,B),mult(i(B),A))). [para(35(a,1),202(a,1,2,2,2,2)),rewrite([41(2),13(11),20(10),35(8),13(8)])].
% 71.73/72.12 12219 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(i(C),mult(mult(C,B),mult(i(B),mult(A,C)))). [back_rewrite(1475),rewrite([12176(7)]),flip(a)].
% 71.73/72.12 12429 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),mult(A,B))))) = mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)). [para(186(a,1),204(a,1,2,2)),rewrite([19(8)]),flip(a)].
% 71.73/72.12 12844 mult(i(A),mult(mult(i(B),i(A)),mult(A,mult(mult(B,mult(C,A)),i(A))))) = mult(mult(i(B),i(A)),mult(mult(A,mult(B,i(A))),C)). [para(162(a,1),206(a,1,2,2,1)),rewrite([76(3),41(9),100(9),76(13),162(17)])].
% 71.73/72.12 12845 mult(A,mult(mult(i(B),A),mult(i(A),mult(mult(B,mult(C,i(A))),A)))) = mult(mult(i(B),A),mult(mult(i(A),mult(B,A)),C)). [para(166(a,1),206(a,1,2,2,1)),rewrite([76(3),41(3),110(8),76(13),41(13),166(15)])].
% 71.73/72.12 16802 mult(mult(i(A),i(B)),mult(B,mult(C,i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),C),i(B))). [para(99(a,1),3225(a,1,1,2,2)),rewrite([76(2),99(12),51(6),10102(10),76(14),76(13),41(12),162(14),76(16),1819(18),99(19),51(10),3230(13),76(9)]),flip(a)].
% 71.73/72.12 16809 mult(mult(i(A),i(B)),mult(mult(B,mult(A,i(B))),C)) = mult(mult(i(B),i(A)),mult(A,C)). [back_rewrite(12844),rewrite([16802(10),440(9),20(7),19(8)]),flip(a)].
% 71.73/72.12 16878 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(3632(a,1),19(a,1,2)),rewrite([76(2),746(8)])].
% 71.73/72.12 16894 mult(mult(A,mult(B,C)),mult(mult(i(C),i(B)),mult(A,D))) = mult(A,mult(mult(A,mult(B,C)),mult(mult(i(C),i(B)),D))). [para(115(a,1),3632(a,1,1)),rewrite([115(19)]),flip(a)].
% 71.73/72.12 17249 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(20(a,1),4073(a,1,2)),rewrite([20(10)])].
% 71.73/72.12 17250 mult(A,mult(B,mult(mult(i(B),C),mult(A,B)))) = mult(mult(A,C),mult(A,B)). [para(44(a,1),4073(a,1,1,2)),flip(a)].
% 71.73/72.12 17360 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(4073(a,1),206(a,2,2)),rewrite([76(6),16894(10),51(8),19(8),19(12)])].
% 71.73/72.12 18129 mult(mult(A,mult(B,C)),mult(i(B),i(A))) = mult(A,mult(B,mult(C,mult(i(B),i(A))))). [para(162(a,1),275(a,2,2,2,2)),rewrite([76(7),906(9),44(10),44(8),76(12),114(16)])].
% 71.73/72.12 19238 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(1816(a,1),19(a,1,2)),flip(a)].
% 71.73/72.12 19263 mult(i(A),mult(mult(mult(A,B),mult(A,C)),A)) = mult(mult(B,A),mult(C,A)). [para(1816(a,1),100(a,2,2,1)),rewrite([41(3),19(3),44(6),41(9)]),flip(a)].
% 71.73/72.12 19316 mult(mult(mult(A,B),mult(A,C)),A) = mult(A,mult(mult(B,A),mult(C,A))). [para(1816(a,1),223(a,2,2,2,2,1)),rewrite([35(2),162(8),19238(7),44(8),161(7),19(8),14(6),35(6),19263(11),14(9)])].
% 71.73/72.12 19456 mult(A,mult(mult(i(A),mult(B,A)),mult(C,A))) = mult(mult(B,mult(A,C)),A). [para(44(a,1),19316(a,1,1,1)),rewrite([166(6)]),flip(a)].
% 71.73/72.12 19457 mult(A,mult(mult(B,A),mult(i(A),mult(C,A)))) = mult(mult(mult(A,B),C),A). [para(44(a,1),19316(a,1,1,2)),rewrite([166(7)]),flip(a)].
% 71.73/72.12 19550 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(12845),rewrite([19457(10),440(7),51(5)]),flip(a)].
% 71.73/72.12 20674 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(20(a,1),17250(a,1,2,2,2)),rewrite([41(4),20(11)])].
% 71.73/72.12 20688 mult(mult(mult(i(A),B),C),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(mult(C,i(A)),B),A)). [para(166(a,1),17250(a,1,2,2,2)),rewrite([109(8),44(9),166(13)]),flip(a)].
% 71.73/72.12 20879 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(20(a,1),17360(a,1,1)),rewrite([20(3),41(3)]),flip(a)].
% 71.73/72.12 20888 mult(mult(A,B),mult(mult(mult(A,B),mult(C,mult(A,B))),i(B))) = mult(A,mult(B,mult(mult(mult(A,B),C),A))). [para(161(a,1),17360(a,1,2,1))].
% 71.73/72.12 20988 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(17360(a,1),223(a,2,2,2,2,1)),rewrite([76(2),166(4),20888(13),109(13),20(5),19(8),161(6),19(7),76(7),166(9),109(16),20(10),19(11),161(9),19(10)])].
% 71.73/72.12 21038 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(12429),rewrite([20879(8),19(6)]),flip(a)].
% 71.73/72.12 21239 mult(mult(mult(A,B),i(C)),mult(C,A)) = mult(A,mult(mult(B,i(C)),mult(C,A))). [para(19(a,1),20988(a,1,1,1,1)),rewrite([19(8)])].
% 71.84/72.12 21243 mult(mult(A,B),mult(mult(mult(mult(i(B),i(A)),C),A),B)) = mult(mult(C,A),B). [para(44(a,1),20988(a,1,1,1)),rewrite([76(5)]),flip(a)].
% 71.84/72.12 21950 mult(mult(i(A),mult(B,A)),mult(C,A)) = mult(i(A),mult(mult(B,mult(A,C)),A)). [para(19456(a,1),19(a,1,2)),flip(a)].
% 71.84/72.12 21957 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(51(a,1),19456(a,1,2,1,2)),flip(a)].
% 71.84/72.12 21958 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(51(a,1),19456(a,1,2,2)),flip(a)].
% 71.84/72.12 22104 mult(mult(A,mult(B,C)),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),C)). [para(19456(a,1),4073(a,2,2)),rewrite([44(4)])].
% 71.84/72.12 22733 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19457(a,1),19(a,1,2)),flip(a)].
% 71.84/72.12 22741 mult(mult(mult(A,B),mult(C,i(A))),A) = mult(A,mult(mult(B,A),mult(i(A),C))). [para(51(a,1),19457(a,1,2,2,2)),flip(a)].
% 71.84/72.12 22875 mult(A,mult(B,mult(mult(i(B),i(A)),mult(mult(mult(B,A),C),B)))) = mult(B,mult(A,mult(C,B))). [para(19457(a,1),276(a,2,2,2,2)),rewrite([166(4),44(5),44(3),44(4)]),flip(a)].
% 71.84/72.12 23005 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(i(A),mult(mult(A,C),B)). [para(20674(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.12 23255 mult(i(A),mult(mult(A,B),mult(C,mult(A,B)))) = mult(B,mult(mult(C,A),B)). [para(20879(a,1),206(a,1,2,2)),rewrite([19(5)]),flip(a)].
% 71.84/72.12 23276 mult(mult(A,B),mult(mult(i(B),C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(20879(a,1),275(a,1,2)),rewrite([41(6),76(6),44(8),35(6),14(6),161(6),41(10),76(10),44(12),20(12),2477(15),23255(14),161(9),19(12)])].
% 71.84/72.12 23380 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(19(a,1),21038(a,1,1,2,1)),rewrite([41(2),19(5)]),flip(a)].
% 71.84/72.12 23492 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(i(C),i(B)),mult(mult(B,mult(C,A)),C)). [back_rewrite(11702),rewrite([23380(9)]),flip(a)].
% 71.84/72.12 23667 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(23255(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.12 23775 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [back_rewrite(23276),rewrite([23667(6)])].
% 71.84/72.12 23899 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,mult(C,mult(i(B),A)))))) = mult(B,mult(mult(C,i(B)),A)). [para(23667(a,1),285(a,2,2,2,2)),rewrite([44(18),19(16)])].
% 71.84/72.12 23928 mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))) = mult(mult(C,i(A)),mult(A,B)). [para(44(a,1),23380(a,1,1,1)),rewrite([76(6),3339(11)]),flip(a)].
% 71.84/72.12 23934 mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [para(196(a,1),23380(a,1,1,1)),rewrite([41(2),286(11)]),flip(a)].
% 71.84/72.12 23940 mult(mult(mult(mult(A,B),C),i(A)),mult(A,mult(B,mult(A,B)))) = mult(mult(mult(A,mult(B,C)),B),mult(A,B)). [para(23380(a,1),952(a,1,1)),rewrite([906(12)]),flip(a)].
% 71.84/72.12 23945 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)). [para(23380(a,1),99(a,2,2,1)),rewrite([41(8),161(7),19(8),41(12)])].
% 71.84/72.12 24001 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(20674(a,1),23380(a,1,1,1)),rewrite([20(5),161(4),23667(4),44(9)]),flip(a)].
% 71.84/72.12 24011 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [back_rewrite(22875),rewrite([23928(9)])].
% 71.84/72.12 24023 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),B) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(286),rewrite([23934(14)])].
% 71.84/72.12 24028 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [para(20(a,1),24001(a,1,1,2,1)),rewrite([23667(10),23775(10)])].
% 71.84/72.12 24275 mult(A,mult(mult(B,mult(A,B)),mult(i(B),C))) = mult(mult(A,mult(B,A)),C). [para(44(a,1),24028(a,1,2)),flip(a)].
% 71.84/72.12 24665 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(20(a,1),24011(a,1,1,1,1)),rewrite([41(3),22733(6),20879(12)])].
% 71.84/72.12 24693 mult(A,mult(mult(mult(mult(mult(B,A),C),i(A)),i(B)),mult(B,A))) = mult(A,mult(B,mult(A,C))). [para(99(a,1),24011(a,1,1,1)),rewrite([21239(9),161(13),51(12)])].
% 71.84/72.12 24765 mult(mult(A,mult(mult(A,B),C)),mult(A,B)) = mult(A,mult(mult(A,mult(B,mult(C,A))),B)). [para(24011(a,1),22104(a,2,2,1)),rewrite([51(5)])].
% 71.84/72.12 24778 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(23945),rewrite([24665(12)])].
% 71.84/72.12 24940 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(24665(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.12 25027 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(44(a,1),24940(a,1,1,1,2)),rewrite([166(6)]),flip(a)].
% 71.84/72.12 25031 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [para(51(a,1),24940(a,2,2,2,1)),rewrite([21958(5)])].
% 71.84/72.12 25329 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(44(a,1),25027(a,1,2,2,1,2)),rewrite([76(5),41(5),166(5),19550(7),17249(10)]),flip(a)].
% 71.84/72.12 25397 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [para(25027(a,1),17360(a,2)),rewrite([21950(6),161(8),20(7)])].
% 71.84/72.12 25400 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(23380(a,1),25027(a,2)),rewrite([41(4),100(7),19(8)])].
% 71.84/72.12 25409 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(20674),rewrite([25329(6),162(3),100(5)])].
% 71.84/72.12 25410 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(A,mult(mult(C,i(B)),mult(B,A))). [back_rewrite(17249),rewrite([25329(10)])].
% 71.84/72.12 25413 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(12219),rewrite([25329(13),19(14)])].
% 71.84/72.12 25512 mult(mult(i(A),i(B)),mult(mult(mult(B,C),A),B)) = mult(i(A),mult(C,mult(A,B))). [para(25397(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.12 25520 mult(mult(mult(A,mult(B,mult(i(A),i(C)))),C),A) = mult(mult(A,C),mult(i(C),B)). [para(51(a,1),25397(a,1,2,2)),rewrite([76(6)]),flip(a)].
% 71.84/72.12 25604 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(24778(a,1),25397(a,1,2,2)),rewrite([19(6),44(9)]),flip(a)].
% 71.84/72.12 25703 mult(mult(A,mult(B,mult(i(A),i(C)))),C) = mult(mult(A,C),mult(i(C),mult(B,i(A)))). [para(17360(a,1),383(a,2,2,2)),rewrite([41(11),22733(12),44(13),23005(11),44(9),44(14)])].
% 71.84/72.12 25707 mult(A,mult(mult(mult(B,i(A)),i(C)),mult(C,A))) = mult(mult(A,C),mult(i(C),B)). [back_rewrite(25520),rewrite([25703(6),25410(7)])].
% 71.84/72.12 25708 mult(mult(A,B),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(A,C))). [back_rewrite(24693),rewrite([25707(9)])].
% 71.84/72.12 25921 mult(mult(i(A),i(B)),mult(mult(B,mult(A,C)),A)) = mult(mult(C,mult(A,B)),i(B)). [para(25400(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.12 25931 mult(mult(mult(A,mult(B,C)),B),mult(A,B)) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [para(25400(a,1),161(a,1,1)),rewrite([23667(13),51(10)])].
% 71.84/72.12 25993 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25400(a,1),24011(a,1,1,1)),rewrite([20(5),51(9)])].
% 71.84/72.12 26000 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(23492),rewrite([25921(14)])].
% 71.84/72.12 26001 mult(mult(mult(mult(A,B),C),i(A)),mult(A,mult(B,mult(A,B)))) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [back_rewrite(23940),rewrite([25931(13)])].
% 71.84/72.12 26013 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(44(a,1),25993(a,1,1,2)),flip(a)].
% 71.84/72.12 26145 mult(mult(i(A),B),mult(mult(mult(C,i(A)),B),A)) = mult(i(A),mult(mult(B,mult(C,mult(i(A),B))),A)). [para(25409(a,1),110(a,1)),rewrite([161(5),20(4),20688(7),161(13),20(12),41(13),20(14)])].
% 71.84/72.12 26162 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(B,mult(i(A),mult(mult(A,C),mult(A,B)))). [para(25409(a,1),206(a,1,2,2)),rewrite([20(4),20(11),41(11)]),flip(a)].
% 71.84/72.12 26187 mult(A,mult(mult(B,mult(mult(C,mult(A,B)),A)),i(A))) = mult(mult(A,B),mult(mult(C,A),B)). [para(25409(a,1),23380(a,2,1)),rewrite([17360(6),162(5),100(7),22104(4),20988(11)])].
% 71.84/72.12 26194 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25409(a,1),25031(a,1,1)),rewrite([44(4),25604(4),44(8),76(10),76(8),41(11),166(10),26000(11),51(9)])].
% 71.84/72.12 26206 mult(mult(mult(i(A),B),C),mult(i(A),mult(B,A))) = mult(i(A),mult(mult(B,mult(C,mult(i(A),B))),A)). [back_rewrite(20688),rewrite([26145(14)])].
% 71.84/72.12 26294 mult(A,mult(B,mult(mult(C,i(B)),mult(B,A)))) = mult(mult(A,B),mult(C,A)). [para(51(a,1),26194(a,1,2,1)),flip(a)].
% 71.84/72.12 26520 mult(i(A),mult(mult(A,B),mult(mult(B,A),C))) = mult(B,mult(B,mult(A,C))). [para(25708(a,1),206(a,1,2,2)),rewrite([19(5)]),flip(a)].
% 71.84/72.12 26542 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(mult(B,i(A)),mult(A,C)). [para(285(a,2),25708(a,2)),rewrite([41(4),196(8)]),flip(a)].
% 71.84/72.12 26619 mult(mult(A,i(B)),mult(B,mult(C,mult(i(A),B)))) = mult(A,mult(mult(C,i(A)),B)). [back_rewrite(23899),rewrite([26542(10)])].
% 71.84/72.12 26815 mult(A,mult(mult(B,i(A)),mult(mult(mult(A,i(B)),C),B))) = mult(mult(A,C),B). [para(51(a,1),26013(a,1,2,2,2)),rewrite([76(5),41(4),51(12)])].
% 71.84/72.12 27448 mult(mult(mult(i(A),i(B)),mult(B,mult(C,i(A)))),mult(A,A)) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(440(a,1),903(a,1,1)),rewrite([771(15)])].
% 71.84/72.12 27471 mult(mult(A,i(B)),mult(B,mult(C,A))) = mult(A,mult(mult(C,B),mult(i(B),A))). [para(440(a,1),25409(a,2)),rewrite([41(7),22741(6),19(7)]),flip(a)].
% 71.84/72.12 27480 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(27448),rewrite([27471(7),986(9),25413(8)]),flip(a)].
% 71.84/72.12 27601 mult(mult(A,B),mult(mult(B,A),C)) = mult(A,mult(B,mult(B,mult(A,C)))). [para(26520(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.12 27609 mult(A,mult(A,mult(B,mult(mult(i(B),i(A)),C)))) = mult(i(B),mult(mult(B,A),C)). [para(44(a,1),26520(a,1,2,2)),rewrite([76(6)]),flip(a)].
% 71.84/72.12 27650 mult(A,mult(A,mult(mult(i(A),i(B)),mult(B,C)))) = mult(mult(A,B),mult(i(B),C)). [para(249(a,1),26520(a,1,2,2)),rewrite([76(4),41(2),41(2),51(5),16809(12)]),flip(a)].
% 71.84/72.12 27652 mult(i(A),mult(i(A),mult(mult(A,i(B)),mult(B,C)))) = mult(mult(i(A),B),mult(i(B),C)). [para(293(a,1),26520(a,1,2,2)),rewrite([76(3),41(3),20(6),19550(14)]),flip(a)].
% 71.84/72.12 28569 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(C,mult(B,A)),i(A))))) = mult(i(A),mult(mult(A,C),B)). [para(25397(a,1),457(a,2,2,1)),rewrite([44(8),20(16)])].
% 71.84/72.12 28770 mult(i(A),mult(mult(A,i(B)),mult(B,C))) = mult(A,mult(mult(i(A),B),mult(i(B),C))). [para(24275(a,1),470(a,2,2,2)),rewrite([41(2),41(3),35(2),14(3),51(3),41(2),41(3),35(2),14(3),35(4),13(4),41(5),1278(8),1278(7),27652(8),41(8),41(9),35(8),14(9),35(10),13(10),41(11),46(11),13(11),1278(12)]),flip(a)].
% 71.84/72.12 28778 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(A,mult(mult(i(A),B),mult(i(B),C))). [back_rewrite(1278),rewrite([28770(12)])].
% 71.84/72.12 28976 mult(i(A),mult(mult(A,B),mult(i(B),C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(24275(a,1),476(a,2,2,2)),rewrite([46(3),14(4),51(4),46(4),14(5),41(6),46(6),13(6),41(6),746(8),746(7),27650(8),46(9),14(10),41(11),46(11),13(11),35(11),13(11),746(12)])].
% 71.84/72.12 28977 mult(mult(mult(A,mult(B,C)),B),mult(i(B),i(C))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(28569),rewrite([28976(10),27471(9),44(10)])].
% 71.84/72.12 29100 mult(A,mult(B,mult(i(A),mult(mult(A,C),B)))) = mult(mult(A,mult(B,C)),B). [para(23380(a,1),1017(a,2)),rewrite([26001(8),18129(9),28977(7)])].
% 71.84/72.12 29143 mult(mult(A,i(B)),mult(B,mult(mult(A,C),B))) = mult(A,mult(B,mult(mult(i(B),A),mult(C,B)))). [para(29100(a,1),330(a,2,2)),rewrite([76(5),41(4),26815(10),21957(11)])].
% 71.84/72.12 29829 mult(A,mult(mult(i(A),i(B)),mult(mult(C,B),A))) = mult(i(B),mult(C,mult(B,A))). [para(25027(a,1),746(a,1,2)),rewrite([25512(7),29143(13),44(14)]),flip(a)].
% 71.84/72.12 29976 mult(A,mult(A,mult(mult(i(A),B),mult(i(B),C)))) = mult(mult(A,i(B)),mult(B,C)). [para(230(a,1),768(a,1,2,1)),rewrite([41(3),76(6),76(5),41(5),196(7),41(4),41(7),76(10),76(9),41(9),196(11),28778(10)]),flip(a)].
% 71.84/72.12 30577 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(C,mult(mult(mult(i(C),i(A)),B),A)). [para(792(a,1),746(a,1,2)),rewrite([76(6),41(3),76(4),41(4),19(5),196(12),76(12),41(9),76(10),41(10),19(11),26206(16),22733(17),26619(15),161(13),19(14)])].
% 71.84/72.12 31855 mult(i(A),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(mult(i(B),i(A)),C))). [para(3632(a,1),880(a,1,1)),rewrite([41(3),41(4),35(3),14(3),19(3),41(2),41(3),76(3),41(6),51(5),41(5),76(5),51(7),2477(8),28976(7),2744(8),41(8),41(9),76(9),41(12),51(11),2477(12)]),flip(a)].
% 71.84/72.12 31858 mult(i(A),mult(B,mult(mult(i(B),A),C))) = mult(A,mult(i(B),mult(mult(B,i(A)),C))). [para(27601(a,1),880(a,1,2,2,2)),rewrite([76(4),41(3),51(7),166(5),51(4),76(6),41(5),19(6),19(10),44(8),2509(6),76(10),41(9),19(10)])].
% 71.84/72.12 31874 mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(24023),rewrite([31858(6),3328(7)])].
% 71.84/72.12 32136 mult(A,mult(B,mult(i(A),mult(mult(A,C),mult(A,B))))) = mult(mult(A,B),mult(mult(C,A),B)). [para(29100(a,1),16878(a,1,2,2)),rewrite([24765(8),27480(9),162(6),100(8),22104(5),26187(8),44(7)]),flip(a)].
% 71.84/72.12 32914 mult(mult(mult(mult(i(A),i(B)),C),B),A) = mult(mult(i(A),i(B)),mult(mult(C,B),A)). [para(21243(a,1),19(a,1,2)),rewrite([76(2)]),flip(a)].
% 71.84/72.12 32943 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(21243(a,1),23380(a,1,1,1)),rewrite([32914(12),29829(13),44(11)])].
% 71.84/72.12 32995 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(mult(B,A),C)) = mult(mult(mult(C,B),A),C). [para(114(a,1),32943(a,1,1,1)),rewrite([41(2),25329(6),162(3),100(5),25409(6),31855(9)]),flip(a)].
% 71.84/72.12 33941 mult(A,mult(mult(i(A),mult(mult(A,B),C)),C)) = mult(mult(A,mult(B,C)),C). [para(22733(a,1),23380(a,1,1,1)),rewrite([30577(9),23005(7),44(10)])].
% 71.84/72.12 33977 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(mult(mult(B,C),A),B). [para(114(a,1),33941(a,1,2,1,2)),rewrite([41(3),31855(12),32995(15)])].
% 71.84/72.12 34098 mult(A,mult(i(B),mult(mult(B,C),mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(26162),rewrite([33977(6)]),flip(a)].
% 71.84/72.12 34106 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [back_rewrite(32136),rewrite([34098(6)]),flip(a)].
% 71.84/72.12 34137 mult(i(A),mult(mult(A,B),mult(C,A))) = mult(mult(B,C),A). [para(34106(a,1),19(a,1,2)),rewrite([76(2),27480(8),20(5)])].
% 71.84/72.12 34229 mult(mult(A,B),mult(i(B),C)) = mult(B,mult(mult(i(B),A),C)). [back_rewrite(31874),rewrite([34137(6)]),flip(a)].
% 71.84/72.12 34429 mult(mult(A,i(B)),mult(B,C)) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(29976),rewrite([34229(5),27609(7)]),flip(a)].
% 71.84/72.12 34542 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [back_rewrite(26294),rewrite([34429(4),44(5)]),flip(a)].
% 71.84/72.12 34543 $F # answer(goals). [resolve(34542,a,173,a)].
% 71.84/72.12
% 71.84/72.12 % SZS output end Refutation
% 71.84/72.12 ============================== end of proof ==========================
% 71.84/72.12
% 71.84/72.12 ============================== PROOF =================================
% 71.84/72.12 % SZS status Theorem
% 71.84/72.12 % SZS output start Refutation
% 71.84/72.12
% 71.84/72.12 % Proof 2 at 70.41 (+ 0.71) seconds: goals.
% 71.84/72.12 % Length of proof is 268.
% 71.84/72.12 % Level of proof is 37.
% 71.84/72.12 % Maximum clause weight is 66.000.
% 71.84/72.12 % Given clauses 838.
% 71.84/72.12
% 71.84/72.12 1 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.12 3 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.12 4 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.12 5 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.12 6 (all A mult(unit,A) = A) # label(f06) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.12 7 (all D all C all B all A ld(mult(A,B),mult(A,mult(B,mult(C,D)))) = mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D))))) # label(f07) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.12 8 (all D all C all B all A rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D)))) # label(f08) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.12 9 (all C all B all A ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A)))) # label(f09) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.12 10 (all B all A mult(i(A),mult(A,B)) = B) # label(f10) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.12 11 (all B all A mult(mult(A,B),i(B)) = A) # label(f11) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.12 12 -((all X0 all X1 all X2 mult(X2,mult(X0,mult(X2,X1))) = mult(mult(mult(X2,X0),X2),X1)) | (all X3 all X4 all X5 mult(X3,mult(X5,mult(X4,X5))) = mult(mult(mult(X3,X5),X4),X5)) | (all X6 all X7 all X8 mult(mult(X8,X6),mult(X7,X8)) = mult(mult(X8,mult(X6,X7)),X8)) | (all X9 all X10 all X11 mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11)))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption].
% 71.84/72.12 13 mult(A,unit) = A # label(f05) # label(axiom). [clausify(5)].
% 71.84/72.12 14 mult(unit,A) = A # label(f06) # label(axiom). [clausify(6)].
% 71.84/72.12 15 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(1)].
% 71.84/72.12 17 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(3)].
% 71.84/72.12 18 rd(mult(A,B),B) = A # label(f04) # label(axiom). [clausify(4)].
% 71.84/72.12 19 mult(i(A),mult(A,B)) = B # label(f10) # label(axiom). [clausify(10)].
% 71.84/72.12 20 mult(mult(A,B),i(B)) = A # label(f11) # label(axiom). [clausify(11)].
% 71.84/72.12 21 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)) # label(f09) # label(axiom). [clausify(9)].
% 71.84/72.12 22 mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D)))) # label(f07) # label(axiom). [clausify(7)].
% 71.84/72.12 23 rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) # label(f08) # label(axiom). [clausify(8)].
% 71.84/72.12 24 mult(rd(mult(mult(A,B),C),mult(B,C)),rd(mult(mult(D,B),C),mult(B,C))) = rd(mult(mult(mult(A,D),B),C),mult(B,C)). [copy(23),flip(a)].
% 71.84/72.12 28 mult(mult(c12,c10),mult(c11,c12)) != mult(c12,mult(mult(c10,c11),c12)) # label(goals) # label(negated_conjecture) # answer(goals). [clausify(12)].
% 71.84/72.12 34 rd(A,ld(B,A)) = B. [para(15(a,1),18(a,1,1))].
% 71.84/72.12 35 mult(i(A),A) = unit. [para(13(a,1),19(a,1,2))].
% 71.84/72.12 37 ld(A,B) = mult(i(A),B). [para(15(a,1),19(a,1,2)),flip(a)].
% 71.84/72.12 40 rd(A,mult(B,A)) = i(B). [para(19(a,1),18(a,1,1))].
% 71.84/72.12 41 i(i(A)) = A. [back_rewrite(34),rewrite([37(1),40(3)])].
% 71.84/72.12 42 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,D)))). [back_rewrite(22),rewrite([37(4),37(9),37(16)])].
% 71.84/72.12 43 mult(mult(i(A),mult(B,A)),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(21),rewrite([37(2),37(5),37(10)])].
% 71.84/72.12 44 mult(A,mult(i(A),B)) = B. [back_rewrite(15),rewrite([37(1)])].
% 71.84/72.12 46 mult(A,i(A)) = unit. [para(14(a,1),20(a,1,1))].
% 71.84/72.12 47 rd(A,B) = mult(A,i(B)). [para(17(a,1),20(a,1,1)),flip(a)].
% 71.84/72.12 48 mult(i(mult(A,B)),A) = i(B). [para(20(a,1),19(a,1,2))].
% 71.84/72.12 50 mult(mult(mult(mult(A,B),C),i(mult(B,C))),mult(mult(mult(D,B),C),i(mult(B,C)))) = mult(mult(mult(mult(A,D),B),C),i(mult(B,C))). [back_rewrite(24),rewrite([47(4),47(9),47(16)])].
% 71.84/72.12 51 mult(mult(A,i(B)),B) = A. [back_rewrite(17),rewrite([47(1)])].
% 71.84/72.12 54 mult(mult(i(A),mult(i(B),mult(mult(B,A),C))),mult(i(A),mult(i(B),mult(mult(B,A),D)))) = mult(i(A),mult(i(B),mult(mult(B,A),mult(C,D)))). [para(19(a,1),42(a,1,1,1,1)),rewrite([19(9),19(16)])].
% 71.84/72.12 57 mult(A,mult(i(mult(B,i(A))),mult(B,mult(i(A),C)))) = mult(i(mult(B,i(A))),mult(B,C)). [para(19(a,1),42(a,2,2,2)),rewrite([35(5),13(5),48(4),41(2)])].
% 71.84/72.12 59 mult(mult(i(A),mult(mult(A,B),mult(i(B),C))),mult(i(A),mult(mult(A,B),mult(i(B),D)))) = mult(i(A),mult(mult(A,B),mult(i(B),mult(C,D)))). [para(20(a,1),42(a,1,1,1,1)),rewrite([20(9),20(16)])].
% 71.84/72.12 64 mult(mult(A,mult(i(mult(B,A)),mult(B,C))),A) = mult(A,mult(i(mult(B,A)),mult(B,mult(C,A)))). [para(35(a,1),42(a,1,2,2)),rewrite([48(3),41(2),48(8),41(7),13(7),48(9),41(8)])].
% 71.84/72.12 66 mult(i(A),mult(i(mult(B,A)),mult(B,mult(A,C)))) = mult(i(mult(B,A)),mult(B,C)). [para(46(a,1),42(a,1,1,2,2)),rewrite([13(4),48(3),44(12)])].
% 71.84/72.12 73 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),mult(i(A),mult(B,mult(mult(i(B),A),D)))) = mult(i(A),mult(B,mult(mult(i(B),A),mult(C,D)))). [para(44(a,1),42(a,1,1,1,1)),rewrite([44(9),44(16)])].
% 71.84/72.12 74 mult(mult(i(mult(A,B)),mult(A,C)),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(mult(i(B),C),D)))). [para(44(a,1),42(a,1,1,2,2))].
% 71.84/72.12 75 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,D))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,mult(i(B),D))))). [para(44(a,1),42(a,1,2,2,2))].
% 71.84/72.12 76 i(mult(A,B)) = mult(i(B),i(A)). [para(19(a,1),48(a,1,1,1)),flip(a)].
% 71.84/72.12 77 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),mult(mult(i(A),i(B)),mult(B,D))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,mult(i(A),D))))). [back_rewrite(75),rewrite([76(2),76(8),76(14)])].
% 71.84/72.12 78 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(mult(i(A),i(B)),mult(B,mult(A,D)))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(mult(i(A),C),D)))). [back_rewrite(74),rewrite([76(2),76(7),76(14)])].
% 71.84/72.12 83 mult(i(A),mult(mult(i(A),i(B)),mult(B,mult(A,C)))) = mult(mult(i(A),i(B)),mult(B,C)). [back_rewrite(66),rewrite([76(3),76(10)])].
% 71.84/72.12 85 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),A) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(64),rewrite([76(2),76(9)])].
% 71.84/72.12 89 mult(A,mult(mult(A,i(B)),mult(B,mult(i(A),C)))) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(57),rewrite([76(3),41(2),76(10),41(9)])].
% 71.84/72.12 91 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(mult(D,B),C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,D),B),C),mult(i(C),i(B))). [back_rewrite(50),rewrite([76(4),76(10),76(18)])].
% 71.84/72.12 94 mult(i(A),mult(mult(A,B),A)) = mult(B,A). [para(19(a,1),43(a,1,1)),rewrite([44(4)]),flip(a)].
% 71.84/72.12 95 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(mult(i(A),i(B)),A)) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [para(19(a,1),43(a,1,2,2)),rewrite([76(2),76(8),76(13)])].
% 71.84/72.12 99 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(20(a,1),43(a,1,1,2)),rewrite([41(2),41(3),41(7)])].
% 71.84/72.12 100 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(20(a,1),43(a,1,2,2)),rewrite([41(2),41(5),41(7)])].
% 71.84/72.12 107 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(mult(i(A),B),A)) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [para(44(a,1),43(a,1,2,2)),rewrite([76(3),41(3),76(9),41(9),76(13),41(13)])].
% 71.84/72.12 109 mult(mult(i(A),B),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(mult(B,i(A)),C),A)). [para(51(a,1),43(a,1,1,2))].
% 71.84/72.12 110 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(51(a,1),43(a,1,2,2))].
% 71.84/72.12 114 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(76(a,1),19(a,1,1))].
% 71.84/72.12 115 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(76(a,1),20(a,1,2))].
% 71.84/72.12 116 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(76(a,1),35(a,1,1))].
% 71.84/72.12 117 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(76(a,1),46(a,1,2))].
% 71.84/72.12 118 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(76(a,1),44(a,1,2,1))].
% 71.84/72.12 119 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(76(a,1),51(a,1,1,2))].
% 71.84/72.12 121 mult(mult(i(A),B),mult(i(B),A)) = unit. [para(41(a,1),116(a,1,1,2))].
% 71.84/72.12 128 mult(mult(mult(mult(i(A),mult(i(B),i(C))),C),B),mult(i(B),mult(i(C),mult(mult(C,B),mult(A,D))))) = mult(i(B),mult(i(C),mult(mult(C,B),D))). [para(54(a,1),19(a,1,2)),rewrite([76(7),76(5),76(3),76(3),41(7),41(8)])].
% 71.84/72.12 130 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),mult(A,mult(mult(i(A),i(B)),mult(B,D)))) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,D)))). [para(20(a,1),54(a,1,1,2,2,1)),rewrite([41(2),76(2),41(8),76(8),20(12),41(15),76(15),20(19)])].
% 71.84/72.12 133 mult(mult(A,mult(i(B),mult(mult(B,i(A)),C))),mult(A,mult(i(B),mult(mult(B,i(A)),D)))) = mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,D)))). [para(41(a,1),54(a,1,1,1)),rewrite([41(8),41(15)])].
% 71.84/72.12 134 mult(mult(i(A),i(B)),mult(i(A),mult(i(B),mult(mult(B,A),C)))) = mult(i(A),mult(i(B),C)). [para(46(a,1),54(a,1,1,2,2)),rewrite([13(4),76(15),118(18)])].
% 71.84/72.12 137 mult(mult(i(A),mult(i(B),C)),mult(i(A),mult(i(B),mult(mult(B,A),D)))) = mult(i(A),mult(i(B),mult(mult(B,A),mult(mult(mult(i(A),i(B)),C),D)))). [para(44(a,1),54(a,1,1,2,2)),rewrite([76(16)])].
% 71.84/72.12 161 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(94(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.12 162 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(19(a,1),94(a,1,2,1)),rewrite([41(2)]),flip(a)].
% 71.84/72.12 165 mult(mult(i(A),i(B)),mult(B,mult(B,A))) = mult(i(A),mult(B,A)). [para(20(a,1),94(a,1,2,1)),rewrite([76(2)])].
% 71.84/72.12 166 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(44(a,1),94(a,1,2,1)),flip(a)].
% 71.84/72.12 172 mult(A,mult(mult(mult(i(A),i(B)),mult(B,C)),A)) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(85),rewrite([161(7)])].
% 71.84/72.12 180 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [back_rewrite(107),rewrite([166(9)])].
% 71.84/72.12 182 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(i(A),mult(i(B),A))) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(95),rewrite([166(10)])].
% 71.84/72.12 184 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(161(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.12 186 mult(mult(A,B),mult(i(B),mult(A,B))) = mult(A,mult(A,B)). [para(20(a,1),161(a,1,1)),flip(a)].
% 71.84/72.12 196 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(41(a,1),114(a,1,1,2))].
% 71.84/72.12 202 mult(mult(mult(mult(i(A),B),mult(i(B),i(C))),C),mult(i(C),mult(mult(C,B),mult(i(B),mult(A,D))))) = mult(i(C),mult(mult(C,B),mult(i(B),D))). [para(59(a,1),19(a,1,2)),rewrite([76(7),76(5),76(3),41(3),76(4),41(8)])].
% 71.84/72.12 204 mult(mult(i(A),mult(mult(A,B),C)),mult(i(A),mult(mult(A,B),mult(i(B),D)))) = mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),D)))). [para(19(a,1),59(a,1,1,2,2))].
% 71.84/72.12 206 mult(A,mult(i(B),mult(mult(B,A),mult(i(A),C)))) = mult(i(B),mult(mult(B,A),C)). [para(19(a,1),59(a,2,2,2)),rewrite([35(4),13(4),19(3)])].
% 71.84/72.12 223 mult(mult(i(A),B),mult(i(B),mult(mult(A,mult(mult(A,C),i(B))),B))) = mult(A,mult(mult(i(A),B),mult(i(B),mult(mult(A,mult(C,i(B))),B)))). [para(161(a,1),59(a,1,1,2)),rewrite([76(3),41(3),44(7),196(6),76(3),41(3),166(5),110(8),76(13),41(13),166(15),110(19)]),flip(a)].
% 71.84/72.12 230 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(41(a,1),115(a,1,2,2))].
% 71.84/72.12 249 mult(mult(A,mult(i(B),i(A))),mult(mult(A,mult(B,i(A))),C)) = C. [para(162(a,1),114(a,1,2,1)),rewrite([41(2),76(2)])].
% 71.84/72.12 275 mult(mult(A,mult(B,C)),mult(A,mult(B,mult(mult(i(B),i(A)),D)))) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(mult(mult(A,B),C),D)))). [para(114(a,1),73(a,1,1,2,2)),rewrite([41(2),41(4),41(11)])].
% 71.84/72.12 276 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(A,mult(B,D))) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,mult(mult(A,B),D))))). [para(114(a,1),73(a,1,2,2,2)),rewrite([41(2),41(8),41(11)])].
% 71.84/72.12 285 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(B,mult(i(A),mult(B,mult(mult(i(B),A),C)))). [para(162(a,1),73(a,1,1,2,2)),rewrite([41(4),44(5),19(3),41(12)]),flip(a)].
% 71.84/72.12 286 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),B) = mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))). [para(162(a,1),73(a,1,2,2,2)),rewrite([41(10),44(11),19(9),41(12)])].
% 71.84/72.12 289 mult(mult(i(A),B),mult(i(B),mult(A,B))) = B. [para(166(a,1),19(a,1,2)),rewrite([76(3),41(3)])].
% 71.84/72.12 293 mult(mult(i(A),mult(i(B),A)),mult(mult(i(A),mult(B,A)),C)) = C. [para(166(a,1),114(a,1,2,1)),rewrite([76(4),41(4)])].
% 71.84/72.12 299 mult(mult(i(A),mult(B,A)),mult(i(B),A)) = mult(mult(i(A),B),mult(A,mult(i(B),A))). [para(166(a,1),162(a,1,1)),rewrite([76(6),41(6),76(11),41(11)])].
% 71.84/72.12 330 mult(mult(A,i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(A,i(B)),mult(B,C))). [para(19(a,1),77(a,2,2,2)),rewrite([41(2),35(4),13(4),51(3),41(2),41(7),41(9)]),flip(a)].
% 71.84/72.12 383 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(A,B),mult(i(B),C))))) = mult(mult(A,B),mult(A,mult(mult(i(A),i(B)),C))). [para(184(a,1),77(a,1,1,2)),rewrite([76(5),41(3),41(3),19(3),76(6),41(4),41(4),19(4),76(12),41(10),41(10),19(10)]),flip(a)].
% 71.84/72.12 424 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(289(a,1),161(a,2,2)),rewrite([299(6),180(10),166(11)])].
% 71.84/72.12 435 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(mult(i(C),i(B)),mult(B,mult(C,mult(mult(i(C),A),D))))) = mult(mult(i(C),i(B)),mult(B,mult(C,D))). [para(78(a,1),19(a,1,2)),rewrite([76(6),76(2),76(7),41(5),41(5)])].
% 71.84/72.12 440 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(35(a,1),78(a,1,2,2,2)),rewrite([41(2),41(6),13(8),51(7),41(7),41(10),161(10),19(11)])].
% 71.84/72.12 457 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),i(A))))) = mult(i(A),mult(mult(mult(A,B),C),i(A))). [para(117(a,1),78(a,1,2,2)),rewrite([41(2),76(2),44(4),41(6),76(6),44(8),13(7),161(6),41(8),76(8),44(10),41(11)]),flip(a)].
% 71.84/72.12 470 mult(mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),D),mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),mult(mult(D,mult(C,B)),mult(A,E)))) = mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),mult(mult(D,mult(C,B)),mult(A,mult(mult(i(A),mult(i(B),i(C))),E)))). [para(115(a,1),78(a,1,1,2)),rewrite([76(4),76(3),76(12),76(11),76(25),76(24)])].
% 71.84/72.12 476 mult(mult(mult(i(A),mult(mult(B,C),i(D))),D),mult(mult(i(A),mult(mult(B,C),i(D))),mult(mult(D,mult(i(C),i(B))),mult(A,E)))) = mult(mult(i(A),mult(mult(B,C),i(D))),mult(mult(D,mult(i(C),i(B))),mult(A,mult(mult(i(A),mult(B,C)),E)))). [para(119(a,1),78(a,1,1,2)),rewrite([76(6),76(5),41(3),41(3),76(12),76(11),41(9),41(9),76(25),76(24),41(22),41(22)])].
% 71.84/72.12 746 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(83(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.12 751 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(35(a,1),83(a,1,2,2,2)),rewrite([41(2),41(2),13(4),51(3),41(3)]),flip(a)].
% 71.84/72.12 768 mult(mult(A,mult(mult(i(A),i(B)),i(C))),mult(mult(C,mult(B,A)),i(B))) = mult(A,mult(mult(A,mult(mult(i(A),i(B)),i(C))),C)). [para(115(a,1),83(a,1,2,2)),rewrite([41(2),41(2),76(3),76(2),41(10),76(11),76(10)]),flip(a)].
% 71.84/72.12 771 mult(mult(mult(i(A),i(B)),mult(B,C)),A) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(83(a,1),162(a,1,1)),rewrite([41(7),746(13),41(15),161(14),172(14),19(15)])].
% 71.84/72.12 792 mult(mult(mult(i(A),B),i(C)),mult(C,mult(i(A),mult(B,A)))) = mult(mult(i(A),B),mult(mult(mult(i(A),B),i(C)),mult(C,A))). [para(289(a,1),83(a,1,2,2,2)),rewrite([76(3),41(3),76(5),41(5),76(12),41(12)]),flip(a)].
% 71.84/72.12 880 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(C,mult(mult(i(C),i(B)),mult(B,mult(mult(i(C),A),D))))) = mult(C,mult(mult(i(C),i(B)),mult(B,D))). [back_rewrite(435),rewrite([746(14),746(21)])].
% 71.84/72.12 903 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(751(a,1),19(a,1,2)),rewrite([76(3),41(2)])].
% 71.84/72.12 904 mult(mult(A,mult(B,A)),B) = mult(mult(A,B),mult(A,B)). [para(19(a,1),751(a,1,2)),rewrite([41(3),161(2)])].
% 71.84/72.12 906 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(20(a,1),751(a,1,1)),flip(a)].
% 71.84/72.12 908 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(41(a,1),751(a,1,1,2))].
% 71.84/72.12 909 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [para(51(a,1),751(a,1,2)),rewrite([76(3),41(2)])].
% 71.84/72.12 913 mult(mult(A,B),mult(i(B),i(B))) = mult(A,i(B)). [para(751(a,1),118(a,1,2))].
% 71.84/72.12 926 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [back_rewrite(904),rewrite([906(6)])].
% 71.84/72.12 927 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(424),rewrite([908(6)])].
% 71.84/72.12 952 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(20(a,1),903(a,1,1)),flip(a)].
% 71.84/72.12 986 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(B,mult(A,A))). [back_rewrite(927),rewrite([952(7)])].
% 71.84/72.12 1003 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(952(a,1),20(a,1,1))].
% 71.84/72.12 1017 mult(mult(A,mult(B,mult(C,mult(B,C)))),mult(i(C),i(B))) = mult(A,mult(B,C)). [para(952(a,1),115(a,1,1)),rewrite([906(3)])].
% 71.84/72.12 1179 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(909(a,1),51(a,1,1)),rewrite([41(4)])].
% 71.84/72.12 1187 mult(mult(A,mult(A,B)),B) = mult(A,mult(A,mult(B,B))). [para(909(a,1),903(a,1,1)),rewrite([1179(3),41(5)]),flip(a)].
% 71.84/72.12 1268 mult(mult(A,mult(A,mult(B,B))),i(B)) = mult(A,mult(A,B)). [para(1179(a,1),1003(a,1,1)),rewrite([1179(7)])].
% 71.84/72.12 1278 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(i(A),mult(mult(A,i(B)),mult(B,C))). [para(89(a,1),19(a,1,2)),flip(a)].
% 71.84/72.12 1457 mult(mult(A,mult(B,mult(A,B))),C) = mult(mult(A,B),mult(mult(A,B),C)). [para(906(a,1),1179(a,1,1))].
% 71.84/72.12 1475 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),B) = mult(mult(mult(A,C),mult(i(C),i(B))),mult(B,B)). [para(46(a,1),91(a,1,2,1)),rewrite([76(3),76(7),76(9),41(7),41(7),20(8),76(9),76(11),41(9),41(9),20(10),14(8),952(7),76(11),76(15),76(17),41(15),41(15),20(16)]),flip(a)].
% 71.84/72.12 1688 mult(mult(A,mult(B,A)),i(B)) = mult(mult(A,B),mult(A,i(B))). [para(926(a,1),913(a,1,1)),rewrite([1457(7),913(6)]),flip(a)].
% 71.84/72.12 1816 mult(A,mult(mult(mult(B,A),mult(C,A)),i(A))) = mult(mult(A,B),mult(A,C)). [para(20(a,1),99(a,1,2,2)),flip(a)].
% 71.84/72.12 1819 mult(mult(A,mult(i(B),i(A))),mult(i(C),i(A))) = mult(A,mult(mult(i(B),mult(i(A),i(C))),i(A))). [para(99(a,1),76(a,1,1)),rewrite([76(6),76(5),41(2),76(3),76(3),162(8),76(12),76(11),41(10),162(12),76(14)]),flip(a)].
% 71.84/72.12 1910 mult(mult(i(A),B),mult(A,B)) = mult(i(A),mult(B,mult(A,B))). [para(19(a,1),1187(a,1,1,2)),rewrite([906(9),19(10)])].
% 71.84/72.12 2042 mult(mult(i(A),i(B)),mult(B,mult(i(C),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),i(C)),i(B))). [para(100(a,1),76(a,1,1)),rewrite([76(6),76(5),41(2),76(3),76(2),162(8),76(10),76(15),76(14),41(13),162(15)]),flip(a)].
% 71.84/72.12 2477 mult(mult(A,B),mult(i(B),mult(i(A),C))) = mult(i(B),mult(i(A),mult(mult(A,B),C))). [para(35(a,1),128(a,1,1,1,1)),rewrite([14(2),118(9)])].
% 71.84/72.12 2509 mult(mult(i(A),B),mult(i(B),mult(A,C))) = mult(i(B),mult(A,mult(mult(i(A),B),C))). [para(196(a,1),128(a,1,2,2,2)),rewrite([76(3),41(3),41(5),121(5),14(3),41(5),41(9)])].
% 71.84/72.12 2744 mult(i(A),mult(B,mult(mult(i(B),i(A)),mult(A,C)))) = mult(B,mult(mult(i(B),i(A)),C)). [para(46(a,1),130(a,1,1,2,2)),rewrite([13(5),44(4),44(14)])].
% 71.84/72.12 3225 mult(mult(i(A),mult(B,mult(A,B))),mult(i(B),i(A))) = mult(i(A),B). [para(19(a,1),1268(a,2,2)),rewrite([906(5),19(6),76(6)])].
% 71.84/72.12 3227 mult(mult(A,mult(B,mult(i(A),B))),mult(i(B),A)) = mult(A,B). [para(44(a,1),1268(a,2,2)),rewrite([906(5),44(6),76(7),41(7)])].
% 71.84/72.12 3230 mult(mult(mult(i(A),i(B)),mult(C,mult(mult(B,A),C))),mult(i(C),mult(i(A),i(B)))) = mult(mult(i(A),i(B)),C). [para(114(a,1),1268(a,2,2)),rewrite([906(11),114(12),76(10),76(10)])].
% 71.84/72.12 3328 mult(mult(A,mult(i(B),mult(mult(B,i(A)),C))),B) = mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))). [para(161(a,1),133(a,1,2,2,2)),rewrite([19(11),44(9)])].
% 71.84/72.12 3339 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),B) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))). [para(166(a,1),133(a,1,2,2,2)),rewrite([41(2),41(8),44(11),44(9),41(9)])].
% 71.84/72.12 3632 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(114(a,1),134(a,1,2,2,2)),rewrite([41(2),41(2),41(3),41(3),41(6),41(6)])].
% 71.84/72.12 3649 mult(mult(A,i(B)),mult(A,B)) = mult(A,mult(i(B),mult(A,B))). [para(751(a,1),134(a,1,2,2,2)),rewrite([41(2),41(4),19(5),41(6)])].
% 71.84/72.12 4073 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(116(a,1),137(a,1,2,2,2)),rewrite([41(2),41(2),41(4),41(4),13(4),41(6),41(6),41(9),41(9),161(11),114(12)])].
% 71.84/72.12 7513 mult(mult(mult(i(A),i(B)),i(C)),mult(C,mult(C,mult(B,A)))) = mult(mult(i(A),i(B)),mult(C,mult(B,A))). [para(76(a,1),165(a,1,1,1)),rewrite([76(11)])].
% 71.84/72.12 7528 mult(mult(i(A),i(B)),mult(A,mult(B,A))) = mult(i(A),mult(mult(i(B),mult(A,B)),A)). [para(165(a,1),99(a,2,2,1)),rewrite([41(8),161(7),161(6),19(8),41(12)])].
% 71.84/72.12 7533 mult(mult(i(A),i(B)),mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),mult(C,mult(A,B))),i(B))). [para(100(a,1),165(a,1,2,2)),rewrite([76(2),76(7),76(6),41(5),162(7),2042(8),99(17),51(11),99(15),51(8),7513(9),76(11),100(17)]),flip(a)].
% 71.84/72.12 7970 mult(mult(i(A),mult(B,A)),B) = mult(i(A),mult(B,mult(A,B))). [para(3227(a,1),165(a,1,2,2)),rewrite([76(3),41(3),76(7),76(6),76(5),41(5),161(6),1688(8),196(9),4073(9),1910(7),746(10),44(8),7528(6),44(7),76(7),41(7),3227(13),1910(8)])].
% 71.84/72.12 8041 mult(mult(A,B),mult(B,A)) = mult(A,mult(B,mult(B,A))). [para(20(a,1),3649(a,1,2)),rewrite([41(3),952(2),161(3),1179(2),41(6),20(7)]),flip(a)].
% 71.84/72.12 8407 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),C) = mult(mult(i(A),i(B)),mult(C,mult(mult(B,A),C))). [para(115(a,1),8041(a,1,2)),rewrite([115(18),161(13)])].
% 71.84/72.12 10102 mult(mult(i(A),i(B)),mult(B,mult(mult(C,mult(mult(A,B),C)),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),mult(C,mult(mult(A,B),C))),i(B))). [para(99(a,1),7970(a,2,2,2)),rewrite([76(2),100(8),7533(9),99(13),51(9),8407(7),76(12),99(22),51(16)]),flip(a)].
% 71.84/72.12 11702 mult(mult(i(A),i(B)),mult(mult(mult(mult(B,A),C),i(B)),mult(B,A))) = mult(mult(C,mult(B,A)),mult(i(A),mult(i(B),A))). [para(161(a,1),182(a,1,1,2)),rewrite([114(8)]),flip(a)].
% 71.84/72.12 12176 mult(mult(mult(A,B),mult(i(B),i(C))),C) = mult(i(C),mult(mult(C,B),mult(i(B),A))). [para(35(a,1),202(a,1,2,2,2,2)),rewrite([41(2),13(11),20(10),35(8),13(8)])].
% 71.84/72.12 12219 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(i(C),mult(mult(C,B),mult(i(B),mult(A,C)))). [back_rewrite(1475),rewrite([12176(7)]),flip(a)].
% 71.84/72.12 12429 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),mult(A,B))))) = mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)). [para(186(a,1),204(a,1,2,2)),rewrite([19(8)]),flip(a)].
% 71.84/72.12 12844 mult(i(A),mult(mult(i(B),i(A)),mult(A,mult(mult(B,mult(C,A)),i(A))))) = mult(mult(i(B),i(A)),mult(mult(A,mult(B,i(A))),C)). [para(162(a,1),206(a,1,2,2,1)),rewrite([76(3),41(9),100(9),76(13),162(17)])].
% 71.84/72.12 12845 mult(A,mult(mult(i(B),A),mult(i(A),mult(mult(B,mult(C,i(A))),A)))) = mult(mult(i(B),A),mult(mult(i(A),mult(B,A)),C)). [para(166(a,1),206(a,1,2,2,1)),rewrite([76(3),41(3),110(8),76(13),41(13),166(15)])].
% 71.84/72.12 16802 mult(mult(i(A),i(B)),mult(B,mult(C,i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),C),i(B))). [para(99(a,1),3225(a,1,1,2,2)),rewrite([76(2),99(12),51(6),10102(10),76(14),76(13),41(12),162(14),76(16),1819(18),99(19),51(10),3230(13),76(9)]),flip(a)].
% 71.84/72.12 16809 mult(mult(i(A),i(B)),mult(mult(B,mult(A,i(B))),C)) = mult(mult(i(B),i(A)),mult(A,C)). [back_rewrite(12844),rewrite([16802(10),440(9),20(7),19(8)]),flip(a)].
% 71.84/72.12 16878 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(3632(a,1),19(a,1,2)),rewrite([76(2),746(8)])].
% 71.84/72.12 16894 mult(mult(A,mult(B,C)),mult(mult(i(C),i(B)),mult(A,D))) = mult(A,mult(mult(A,mult(B,C)),mult(mult(i(C),i(B)),D))). [para(115(a,1),3632(a,1,1)),rewrite([115(19)]),flip(a)].
% 71.84/72.12 17249 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(20(a,1),4073(a,1,2)),rewrite([20(10)])].
% 71.84/72.12 17250 mult(A,mult(B,mult(mult(i(B),C),mult(A,B)))) = mult(mult(A,C),mult(A,B)). [para(44(a,1),4073(a,1,1,2)),flip(a)].
% 71.84/72.12 17360 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(4073(a,1),206(a,2,2)),rewrite([76(6),16894(10),51(8),19(8),19(12)])].
% 71.84/72.12 18129 mult(mult(A,mult(B,C)),mult(i(B),i(A))) = mult(A,mult(B,mult(C,mult(i(B),i(A))))). [para(162(a,1),275(a,2,2,2,2)),rewrite([76(7),906(9),44(10),44(8),76(12),114(16)])].
% 71.84/72.12 19238 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(1816(a,1),19(a,1,2)),flip(a)].
% 71.84/72.12 19263 mult(i(A),mult(mult(mult(A,B),mult(A,C)),A)) = mult(mult(B,A),mult(C,A)). [para(1816(a,1),100(a,2,2,1)),rewrite([41(3),19(3),44(6),41(9)]),flip(a)].
% 71.84/72.12 19316 mult(mult(mult(A,B),mult(A,C)),A) = mult(A,mult(mult(B,A),mult(C,A))). [para(1816(a,1),223(a,2,2,2,2,1)),rewrite([35(2),162(8),19238(7),44(8),161(7),19(8),14(6),35(6),19263(11),14(9)])].
% 71.84/72.12 19456 mult(A,mult(mult(i(A),mult(B,A)),mult(C,A))) = mult(mult(B,mult(A,C)),A). [para(44(a,1),19316(a,1,1,1)),rewrite([166(6)]),flip(a)].
% 71.84/72.12 19457 mult(A,mult(mult(B,A),mult(i(A),mult(C,A)))) = mult(mult(mult(A,B),C),A). [para(44(a,1),19316(a,1,1,2)),rewrite([166(7)]),flip(a)].
% 71.84/72.12 19550 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(12845),rewrite([19457(10),440(7),51(5)]),flip(a)].
% 71.84/72.12 20674 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(20(a,1),17250(a,1,2,2,2)),rewrite([41(4),20(11)])].
% 71.84/72.12 20688 mult(mult(mult(i(A),B),C),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(mult(C,i(A)),B),A)). [para(166(a,1),17250(a,1,2,2,2)),rewrite([109(8),44(9),166(13)]),flip(a)].
% 71.84/72.12 20879 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(20(a,1),17360(a,1,1)),rewrite([20(3),41(3)]),flip(a)].
% 71.84/72.12 20888 mult(mult(A,B),mult(mult(mult(A,B),mult(C,mult(A,B))),i(B))) = mult(A,mult(B,mult(mult(mult(A,B),C),A))). [para(161(a,1),17360(a,1,2,1))].
% 71.84/72.12 20988 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(17360(a,1),223(a,2,2,2,2,1)),rewrite([76(2),166(4),20888(13),109(13),20(5),19(8),161(6),19(7),76(7),166(9),109(16),20(10),19(11),161(9),19(10)])].
% 71.84/72.12 21038 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(12429),rewrite([20879(8),19(6)]),flip(a)].
% 71.84/72.12 21239 mult(mult(mult(A,B),i(C)),mult(C,A)) = mult(A,mult(mult(B,i(C)),mult(C,A))). [para(19(a,1),20988(a,1,1,1,1)),rewrite([19(8)])].
% 71.84/72.12 21243 mult(mult(A,B),mult(mult(mult(mult(i(B),i(A)),C),A),B)) = mult(mult(C,A),B). [para(44(a,1),20988(a,1,1,1)),rewrite([76(5)]),flip(a)].
% 71.84/72.12 21950 mult(mult(i(A),mult(B,A)),mult(C,A)) = mult(i(A),mult(mult(B,mult(A,C)),A)). [para(19456(a,1),19(a,1,2)),flip(a)].
% 71.84/72.12 21957 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(51(a,1),19456(a,1,2,1,2)),flip(a)].
% 71.84/72.12 21958 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(51(a,1),19456(a,1,2,2)),flip(a)].
% 71.84/72.12 22104 mult(mult(A,mult(B,C)),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),C)). [para(19456(a,1),4073(a,2,2)),rewrite([44(4)])].
% 71.84/72.12 22733 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19457(a,1),19(a,1,2)),flip(a)].
% 71.84/72.12 22741 mult(mult(mult(A,B),mult(C,i(A))),A) = mult(A,mult(mult(B,A),mult(i(A),C))). [para(51(a,1),19457(a,1,2,2,2)),flip(a)].
% 71.84/72.12 22875 mult(A,mult(B,mult(mult(i(B),i(A)),mult(mult(mult(B,A),C),B)))) = mult(B,mult(A,mult(C,B))). [para(19457(a,1),276(a,2,2,2,2)),rewrite([166(4),44(5),44(3),44(4)]),flip(a)].
% 71.84/72.12 23005 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(i(A),mult(mult(A,C),B)). [para(20674(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.12 23255 mult(i(A),mult(mult(A,B),mult(C,mult(A,B)))) = mult(B,mult(mult(C,A),B)). [para(20879(a,1),206(a,1,2,2)),rewrite([19(5)]),flip(a)].
% 71.84/72.12 23276 mult(mult(A,B),mult(mult(i(B),C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(20879(a,1),275(a,1,2)),rewrite([41(6),76(6),44(8),35(6),14(6),161(6),41(10),76(10),44(12),20(12),2477(15),23255(14),161(9),19(12)])].
% 71.84/72.12 23380 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(19(a,1),21038(a,1,1,2,1)),rewrite([41(2),19(5)]),flip(a)].
% 71.84/72.12 23492 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(i(C),i(B)),mult(mult(B,mult(C,A)),C)). [back_rewrite(11702),rewrite([23380(9)]),flip(a)].
% 71.84/72.12 23667 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(23255(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.12 23775 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [back_rewrite(23276),rewrite([23667(6)])].
% 71.84/72.12 23899 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,mult(C,mult(i(B),A)))))) = mult(B,mult(mult(C,i(B)),A)). [para(23667(a,1),285(a,2,2,2,2)),rewrite([44(18),19(16)])].
% 71.84/72.12 23928 mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))) = mult(mult(C,i(A)),mult(A,B)). [para(44(a,1),23380(a,1,1,1)),rewrite([76(6),3339(11)]),flip(a)].
% 71.84/72.12 23934 mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [para(196(a,1),23380(a,1,1,1)),rewrite([41(2),286(11)]),flip(a)].
% 71.84/72.12 23940 mult(mult(mult(mult(A,B),C),i(A)),mult(A,mult(B,mult(A,B)))) = mult(mult(mult(A,mult(B,C)),B),mult(A,B)). [para(23380(a,1),952(a,1,1)),rewrite([906(12)]),flip(a)].
% 71.84/72.12 23945 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)). [para(23380(a,1),99(a,2,2,1)),rewrite([41(8),161(7),19(8),41(12)])].
% 71.84/72.12 24001 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(20674(a,1),23380(a,1,1,1)),rewrite([20(5),161(4),23667(4),44(9)]),flip(a)].
% 71.84/72.12 24011 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [back_rewrite(22875),rewrite([23928(9)])].
% 71.84/72.12 24023 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),B) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(286),rewrite([23934(14)])].
% 71.84/72.12 24028 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [para(20(a,1),24001(a,1,1,2,1)),rewrite([23667(10),23775(10)])].
% 71.84/72.12 24275 mult(A,mult(mult(B,mult(A,B)),mult(i(B),C))) = mult(mult(A,mult(B,A)),C). [para(44(a,1),24028(a,1,2)),flip(a)].
% 71.84/72.12 24665 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(20(a,1),24011(a,1,1,1,1)),rewrite([41(3),22733(6),20879(12)])].
% 71.84/72.12 24693 mult(A,mult(mult(mult(mult(mult(B,A),C),i(A)),i(B)),mult(B,A))) = mult(A,mult(B,mult(A,C))). [para(99(a,1),24011(a,1,1,1)),rewrite([21239(9),161(13),51(12)])].
% 71.84/72.12 24765 mult(mult(A,mult(mult(A,B),C)),mult(A,B)) = mult(A,mult(mult(A,mult(B,mult(C,A))),B)). [para(24011(a,1),22104(a,2,2,1)),rewrite([51(5)])].
% 71.84/72.12 24778 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(23945),rewrite([24665(12)])].
% 71.84/72.12 24940 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(24665(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.12 25027 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(44(a,1),24940(a,1,1,1,2)),rewrite([166(6)]),flip(a)].
% 71.84/72.12 25031 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [para(51(a,1),24940(a,2,2,2,1)),rewrite([21958(5)])].
% 71.84/72.12 25329 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(44(a,1),25027(a,1,2,2,1,2)),rewrite([76(5),41(5),166(5),19550(7),17249(10)]),flip(a)].
% 71.84/72.12 25397 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [para(25027(a,1),17360(a,2)),rewrite([21950(6),161(8),20(7)])].
% 71.84/72.12 25400 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(23380(a,1),25027(a,2)),rewrite([41(4),100(7),19(8)])].
% 71.84/72.12 25409 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(20674),rewrite([25329(6),162(3),100(5)])].
% 71.84/72.12 25410 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(A,mult(mult(C,i(B)),mult(B,A))). [back_rewrite(17249),rewrite([25329(10)])].
% 71.84/72.12 25413 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(12219),rewrite([25329(13),19(14)])].
% 71.84/72.12 25512 mult(mult(i(A),i(B)),mult(mult(mult(B,C),A),B)) = mult(i(A),mult(C,mult(A,B))). [para(25397(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.12 25520 mult(mult(mult(A,mult(B,mult(i(A),i(C)))),C),A) = mult(mult(A,C),mult(i(C),B)). [para(51(a,1),25397(a,1,2,2)),rewrite([76(6)]),flip(a)].
% 71.84/72.12 25604 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(24778(a,1),25397(a,1,2,2)),rewrite([19(6),44(9)]),flip(a)].
% 71.84/72.12 25703 mult(mult(A,mult(B,mult(i(A),i(C)))),C) = mult(mult(A,C),mult(i(C),mult(B,i(A)))). [para(17360(a,1),383(a,2,2,2)),rewrite([41(11),22733(12),44(13),23005(11),44(9),44(14)])].
% 71.84/72.12 25707 mult(A,mult(mult(mult(B,i(A)),i(C)),mult(C,A))) = mult(mult(A,C),mult(i(C),B)). [back_rewrite(25520),rewrite([25703(6),25410(7)])].
% 71.84/72.12 25708 mult(mult(A,B),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(A,C))). [back_rewrite(24693),rewrite([25707(9)])].
% 71.84/72.12 25921 mult(mult(i(A),i(B)),mult(mult(B,mult(A,C)),A)) = mult(mult(C,mult(A,B)),i(B)). [para(25400(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.12 25931 mult(mult(mult(A,mult(B,C)),B),mult(A,B)) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [para(25400(a,1),161(a,1,1)),rewrite([23667(13),51(10)])].
% 71.84/72.12 25993 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25400(a,1),24011(a,1,1,1)),rewrite([20(5),51(9)])].
% 71.84/72.12 26000 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(23492),rewrite([25921(14)])].
% 71.84/72.12 26001 mult(mult(mult(mult(A,B),C),i(A)),mult(A,mult(B,mult(A,B)))) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [back_rewrite(23940),rewrite([25931(13)])].
% 71.84/72.12 26013 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(44(a,1),25993(a,1,1,2)),flip(a)].
% 71.84/72.12 26145 mult(mult(i(A),B),mult(mult(mult(C,i(A)),B),A)) = mult(i(A),mult(mult(B,mult(C,mult(i(A),B))),A)). [para(25409(a,1),110(a,1)),rewrite([161(5),20(4),20688(7),161(13),20(12),41(13),20(14)])].
% 71.84/72.12 26162 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(B,mult(i(A),mult(mult(A,C),mult(A,B)))). [para(25409(a,1),206(a,1,2,2)),rewrite([20(4),20(11),41(11)]),flip(a)].
% 71.84/72.12 26187 mult(A,mult(mult(B,mult(mult(C,mult(A,B)),A)),i(A))) = mult(mult(A,B),mult(mult(C,A),B)). [para(25409(a,1),23380(a,2,1)),rewrite([17360(6),162(5),100(7),22104(4),20988(11)])].
% 71.84/72.12 26194 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25409(a,1),25031(a,1,1)),rewrite([44(4),25604(4),44(8),76(10),76(8),41(11),166(10),26000(11),51(9)])].
% 71.84/72.12 26206 mult(mult(mult(i(A),B),C),mult(i(A),mult(B,A))) = mult(i(A),mult(mult(B,mult(C,mult(i(A),B))),A)). [back_rewrite(20688),rewrite([26145(14)])].
% 71.84/72.12 26294 mult(A,mult(B,mult(mult(C,i(B)),mult(B,A)))) = mult(mult(A,B),mult(C,A)). [para(51(a,1),26194(a,1,2,1)),flip(a)].
% 71.84/72.12 26520 mult(i(A),mult(mult(A,B),mult(mult(B,A),C))) = mult(B,mult(B,mult(A,C))). [para(25708(a,1),206(a,1,2,2)),rewrite([19(5)]),flip(a)].
% 71.84/72.12 26542 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(mult(B,i(A)),mult(A,C)). [para(285(a,2),25708(a,2)),rewrite([41(4),196(8)]),flip(a)].
% 71.84/72.12 26619 mult(mult(A,i(B)),mult(B,mult(C,mult(i(A),B)))) = mult(A,mult(mult(C,i(A)),B)). [back_rewrite(23899),rewrite([26542(10)])].
% 71.84/72.12 26815 mult(A,mult(mult(B,i(A)),mult(mult(mult(A,i(B)),C),B))) = mult(mult(A,C),B). [para(51(a,1),26013(a,1,2,2,2)),rewrite([76(5),41(4),51(12)])].
% 71.84/72.12 27448 mult(mult(mult(i(A),i(B)),mult(B,mult(C,i(A)))),mult(A,A)) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(440(a,1),903(a,1,1)),rewrite([771(15)])].
% 71.84/72.12 27471 mult(mult(A,i(B)),mult(B,mult(C,A))) = mult(A,mult(mult(C,B),mult(i(B),A))). [para(440(a,1),25409(a,2)),rewrite([41(7),22741(6),19(7)]),flip(a)].
% 71.84/72.12 27480 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(27448),rewrite([27471(7),986(9),25413(8)]),flip(a)].
% 71.84/72.12 27601 mult(mult(A,B),mult(mult(B,A),C)) = mult(A,mult(B,mult(B,mult(A,C)))). [para(26520(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.12 27609 mult(A,mult(A,mult(B,mult(mult(i(B),i(A)),C)))) = mult(i(B),mult(mult(B,A),C)). [para(44(a,1),26520(a,1,2,2)),rewrite([76(6)]),flip(a)].
% 71.84/72.12 27650 mult(A,mult(A,mult(mult(i(A),i(B)),mult(B,C)))) = mult(mult(A,B),mult(i(B),C)). [para(249(a,1),26520(a,1,2,2)),rewrite([76(4),41(2),41(2),51(5),16809(12)]),flip(a)].
% 71.84/72.12 27652 mult(i(A),mult(i(A),mult(mult(A,i(B)),mult(B,C)))) = mult(mult(i(A),B),mult(i(B),C)). [para(293(a,1),26520(a,1,2,2)),rewrite([76(3),41(3),20(6),19550(14)]),flip(a)].
% 71.84/72.12 28569 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(C,mult(B,A)),i(A))))) = mult(i(A),mult(mult(A,C),B)). [para(25397(a,1),457(a,2,2,1)),rewrite([44(8),20(16)])].
% 71.84/72.12 28770 mult(i(A),mult(mult(A,i(B)),mult(B,C))) = mult(A,mult(mult(i(A),B),mult(i(B),C))). [para(24275(a,1),470(a,2,2,2)),rewrite([41(2),41(3),35(2),14(3),51(3),41(2),41(3),35(2),14(3),35(4),13(4),41(5),1278(8),1278(7),27652(8),41(8),41(9),35(8),14(9),35(10),13(10),41(11),46(11),13(11),1278(12)]),flip(a)].
% 71.84/72.12 28778 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(A,mult(mult(i(A),B),mult(i(B),C))). [back_rewrite(1278),rewrite([28770(12)])].
% 71.84/72.12 28976 mult(i(A),mult(mult(A,B),mult(i(B),C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(24275(a,1),476(a,2,2,2)),rewrite([46(3),14(4),51(4),46(4),14(5),41(6),46(6),13(6),41(6),746(8),746(7),27650(8),46(9),14(10),41(11),46(11),13(11),35(11),13(11),746(12)])].
% 71.84/72.12 28977 mult(mult(mult(A,mult(B,C)),B),mult(i(B),i(C))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(28569),rewrite([28976(10),27471(9),44(10)])].
% 71.84/72.12 29100 mult(A,mult(B,mult(i(A),mult(mult(A,C),B)))) = mult(mult(A,mult(B,C)),B). [para(23380(a,1),1017(a,2)),rewrite([26001(8),18129(9),28977(7)])].
% 71.84/72.12 29143 mult(mult(A,i(B)),mult(B,mult(mult(A,C),B))) = mult(A,mult(B,mult(mult(i(B),A),mult(C,B)))). [para(29100(a,1),330(a,2,2)),rewrite([76(5),41(4),26815(10),21957(11)])].
% 71.84/72.12 29829 mult(A,mult(mult(i(A),i(B)),mult(mult(C,B),A))) = mult(i(B),mult(C,mult(B,A))). [para(25027(a,1),746(a,1,2)),rewrite([25512(7),29143(13),44(14)]),flip(a)].
% 71.84/72.12 29976 mult(A,mult(A,mult(mult(i(A),B),mult(i(B),C)))) = mult(mult(A,i(B)),mult(B,C)). [para(230(a,1),768(a,1,2,1)),rewrite([41(3),76(6),76(5),41(5),196(7),41(4),41(7),76(10),76(9),41(9),196(11),28778(10)]),flip(a)].
% 71.84/72.12 30577 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(C,mult(mult(mult(i(C),i(A)),B),A)). [para(792(a,1),746(a,1,2)),rewrite([76(6),41(3),76(4),41(4),19(5),196(12),76(12),41(9),76(10),41(10),19(11),26206(16),22733(17),26619(15),161(13),19(14)])].
% 71.84/72.12 31855 mult(i(A),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(mult(i(B),i(A)),C))). [para(3632(a,1),880(a,1,1)),rewrite([41(3),41(4),35(3),14(3),19(3),41(2),41(3),76(3),41(6),51(5),41(5),76(5),51(7),2477(8),28976(7),2744(8),41(8),41(9),76(9),41(12),51(11),2477(12)]),flip(a)].
% 71.84/72.12 31858 mult(i(A),mult(B,mult(mult(i(B),A),C))) = mult(A,mult(i(B),mult(mult(B,i(A)),C))). [para(27601(a,1),880(a,1,2,2,2)),rewrite([76(4),41(3),51(7),166(5),51(4),76(6),41(5),19(6),19(10),44(8),2509(6),76(10),41(9),19(10)])].
% 71.84/72.12 31874 mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(24023),rewrite([31858(6),3328(7)])].
% 71.84/72.12 32136 mult(A,mult(B,mult(i(A),mult(mult(A,C),mult(A,B))))) = mult(mult(A,B),mult(mult(C,A),B)). [para(29100(a,1),16878(a,1,2,2)),rewrite([24765(8),27480(9),162(6),100(8),22104(5),26187(8),44(7)]),flip(a)].
% 71.84/72.12 32914 mult(mult(mult(mult(i(A),i(B)),C),B),A) = mult(mult(i(A),i(B)),mult(mult(C,B),A)). [para(21243(a,1),19(a,1,2)),rewrite([76(2)]),flip(a)].
% 71.84/72.12 32943 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(21243(a,1),23380(a,1,1,1)),rewrite([32914(12),29829(13),44(11)])].
% 71.84/72.14 32995 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(mult(B,A),C)) = mult(mult(mult(C,B),A),C). [para(114(a,1),32943(a,1,1,1)),rewrite([41(2),25329(6),162(3),100(5),25409(6),31855(9)]),flip(a)].
% 71.84/72.14 33941 mult(A,mult(mult(i(A),mult(mult(A,B),C)),C)) = mult(mult(A,mult(B,C)),C). [para(22733(a,1),23380(a,1,1,1)),rewrite([30577(9),23005(7),44(10)])].
% 71.84/72.14 33977 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(mult(mult(B,C),A),B). [para(114(a,1),33941(a,1,2,1,2)),rewrite([41(3),31855(12),32995(15)])].
% 71.84/72.14 34098 mult(A,mult(i(B),mult(mult(B,C),mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(26162),rewrite([33977(6)]),flip(a)].
% 71.84/72.14 34106 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [back_rewrite(32136),rewrite([34098(6)]),flip(a)].
% 71.84/72.14 34137 mult(i(A),mult(mult(A,B),mult(C,A))) = mult(mult(B,C),A). [para(34106(a,1),19(a,1,2)),rewrite([76(2),27480(8),20(5)])].
% 71.84/72.14 34229 mult(mult(A,B),mult(i(B),C)) = mult(B,mult(mult(i(B),A),C)). [back_rewrite(31874),rewrite([34137(6)]),flip(a)].
% 71.84/72.14 34429 mult(mult(A,i(B)),mult(B,C)) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(29976),rewrite([34229(5),27609(7)]),flip(a)].
% 71.84/72.14 34542 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [back_rewrite(26294),rewrite([34429(4),44(5)]),flip(a)].
% 71.84/72.14 34544 $F # answer(goals). [resolve(34542,a,28,a)].
% 71.84/72.14
% 71.84/72.14 % SZS output end Refutation
% 71.84/72.14 ============================== end of proof ==========================
% 71.84/72.14
% 71.84/72.14 ============================== PROOF =================================
% 71.84/72.14 % SZS status Theorem
% 71.84/72.14 % SZS output start Refutation
% 71.84/72.14
% 71.84/72.14 % Proof 3 at 70.43 (+ 0.71) seconds: goals.
% 71.84/72.14 % Length of proof is 262.
% 71.84/72.14 % Level of proof is 36.
% 71.84/72.14 % Maximum clause weight is 62.000.
% 71.84/72.14 % Given clauses 838.
% 71.84/72.14
% 71.84/72.14 1 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.14 3 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.14 4 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.14 5 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.14 6 (all A mult(unit,A) = A) # label(f06) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.14 7 (all D all C all B all A ld(mult(A,B),mult(A,mult(B,mult(C,D)))) = mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D))))) # label(f07) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.14 8 (all D all C all B all A rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D)))) # label(f08) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.14 9 (all C all B all A ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A)))) # label(f09) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.14 10 (all B all A mult(i(A),mult(A,B)) = B) # label(f10) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.14 11 (all B all A mult(mult(A,B),i(B)) = A) # label(f11) # label(axiom) # label(non_clause). [assumption].
% 71.84/72.14 12 -((all X0 all X1 all X2 mult(X2,mult(X0,mult(X2,X1))) = mult(mult(mult(X2,X0),X2),X1)) | (all X3 all X4 all X5 mult(X3,mult(X5,mult(X4,X5))) = mult(mult(mult(X3,X5),X4),X5)) | (all X6 all X7 all X8 mult(mult(X8,X6),mult(X7,X8)) = mult(mult(X8,mult(X6,X7)),X8)) | (all X9 all X10 all X11 mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11)))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption].
% 71.84/72.14 13 mult(A,unit) = A # label(f05) # label(axiom). [clausify(5)].
% 71.84/72.14 14 mult(unit,A) = A # label(f06) # label(axiom). [clausify(6)].
% 71.84/72.14 15 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(1)].
% 71.84/72.14 17 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(3)].
% 71.84/72.14 18 rd(mult(A,B),B) = A # label(f04) # label(axiom). [clausify(4)].
% 71.84/72.14 19 mult(i(A),mult(A,B)) = B # label(f10) # label(axiom). [clausify(10)].
% 71.84/72.14 20 mult(mult(A,B),i(B)) = A # label(f11) # label(axiom). [clausify(11)].
% 71.84/72.14 21 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)) # label(f09) # label(axiom). [clausify(9)].
% 71.84/72.14 22 mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D)))) # label(f07) # label(axiom). [clausify(7)].
% 71.84/72.14 23 rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) # label(f08) # label(axiom). [clausify(8)].
% 71.84/72.14 24 mult(rd(mult(mult(A,B),C),mult(B,C)),rd(mult(mult(D,B),C),mult(B,C))) = rd(mult(mult(mult(A,D),B),C),mult(B,C)). [copy(23),flip(a)].
% 71.84/72.14 26 mult(mult(mult(c4,c6),c5),c6) != mult(c4,mult(c6,mult(c5,c6))) # label(goals) # label(negated_conjecture) # answer(goals). [clausify(12)].
% 71.84/72.14 34 rd(A,ld(B,A)) = B. [para(15(a,1),18(a,1,1))].
% 71.84/72.14 35 mult(i(A),A) = unit. [para(13(a,1),19(a,1,2))].
% 71.84/72.14 37 ld(A,B) = mult(i(A),B). [para(15(a,1),19(a,1,2)),flip(a)].
% 71.84/72.14 40 rd(A,mult(B,A)) = i(B). [para(19(a,1),18(a,1,1))].
% 71.84/72.14 41 i(i(A)) = A. [back_rewrite(34),rewrite([37(1),40(3)])].
% 71.84/72.14 42 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,D)))). [back_rewrite(22),rewrite([37(4),37(9),37(16)])].
% 71.84/72.14 43 mult(mult(i(A),mult(B,A)),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(21),rewrite([37(2),37(5),37(10)])].
% 71.84/72.14 44 mult(A,mult(i(A),B)) = B. [back_rewrite(15),rewrite([37(1)])].
% 71.84/72.14 46 mult(A,i(A)) = unit. [para(14(a,1),20(a,1,1))].
% 71.84/72.14 47 rd(A,B) = mult(A,i(B)). [para(17(a,1),20(a,1,1)),flip(a)].
% 71.84/72.14 48 mult(i(mult(A,B)),A) = i(B). [para(20(a,1),19(a,1,2))].
% 71.84/72.14 50 mult(mult(mult(mult(A,B),C),i(mult(B,C))),mult(mult(mult(D,B),C),i(mult(B,C)))) = mult(mult(mult(mult(A,D),B),C),i(mult(B,C))). [back_rewrite(24),rewrite([47(4),47(9),47(16)])].
% 71.84/72.14 51 mult(mult(A,i(B)),B) = A. [back_rewrite(17),rewrite([47(1)])].
% 71.84/72.14 54 mult(mult(i(A),mult(i(B),mult(mult(B,A),C))),mult(i(A),mult(i(B),mult(mult(B,A),D)))) = mult(i(A),mult(i(B),mult(mult(B,A),mult(C,D)))). [para(19(a,1),42(a,1,1,1,1)),rewrite([19(9),19(16)])].
% 71.84/72.14 59 mult(mult(i(A),mult(mult(A,B),mult(i(B),C))),mult(i(A),mult(mult(A,B),mult(i(B),D)))) = mult(i(A),mult(mult(A,B),mult(i(B),mult(C,D)))). [para(20(a,1),42(a,1,1,1,1)),rewrite([20(9),20(16)])].
% 71.84/72.14 64 mult(mult(A,mult(i(mult(B,A)),mult(B,C))),A) = mult(A,mult(i(mult(B,A)),mult(B,mult(C,A)))). [para(35(a,1),42(a,1,2,2)),rewrite([48(3),41(2),48(8),41(7),13(7),48(9),41(8)])].
% 71.84/72.14 66 mult(i(A),mult(i(mult(B,A)),mult(B,mult(A,C)))) = mult(i(mult(B,A)),mult(B,C)). [para(46(a,1),42(a,1,1,2,2)),rewrite([13(4),48(3),44(12)])].
% 71.84/72.14 73 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),mult(i(A),mult(B,mult(mult(i(B),A),D)))) = mult(i(A),mult(B,mult(mult(i(B),A),mult(C,D)))). [para(44(a,1),42(a,1,1,1,1)),rewrite([44(9),44(16)])].
% 71.84/72.14 74 mult(mult(i(mult(A,B)),mult(A,C)),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(mult(i(B),C),D)))). [para(44(a,1),42(a,1,1,2,2))].
% 71.84/72.14 75 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,D))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,mult(i(B),D))))). [para(44(a,1),42(a,1,2,2,2))].
% 71.84/72.14 76 i(mult(A,B)) = mult(i(B),i(A)). [para(19(a,1),48(a,1,1,1)),flip(a)].
% 71.84/72.14 77 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),mult(mult(i(A),i(B)),mult(B,D))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,mult(i(A),D))))). [back_rewrite(75),rewrite([76(2),76(8),76(14)])].
% 71.84/72.14 78 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(mult(i(A),i(B)),mult(B,mult(A,D)))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(mult(i(A),C),D)))). [back_rewrite(74),rewrite([76(2),76(7),76(14)])].
% 71.84/72.14 83 mult(i(A),mult(mult(i(A),i(B)),mult(B,mult(A,C)))) = mult(mult(i(A),i(B)),mult(B,C)). [back_rewrite(66),rewrite([76(3),76(10)])].
% 71.84/72.14 85 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),A) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(64),rewrite([76(2),76(9)])].
% 71.84/72.14 91 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(mult(D,B),C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,D),B),C),mult(i(C),i(B))). [back_rewrite(50),rewrite([76(4),76(10),76(18)])].
% 71.84/72.14 94 mult(i(A),mult(mult(A,B),A)) = mult(B,A). [para(19(a,1),43(a,1,1)),rewrite([44(4)]),flip(a)].
% 71.84/72.14 95 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(mult(i(A),i(B)),A)) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [para(19(a,1),43(a,1,2,2)),rewrite([76(2),76(8),76(13)])].
% 71.84/72.14 99 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(20(a,1),43(a,1,1,2)),rewrite([41(2),41(3),41(7)])].
% 71.84/72.14 100 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(20(a,1),43(a,1,2,2)),rewrite([41(2),41(5),41(7)])].
% 71.84/72.14 107 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(mult(i(A),B),A)) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [para(44(a,1),43(a,1,2,2)),rewrite([76(3),41(3),76(9),41(9),76(13),41(13)])].
% 71.84/72.14 109 mult(mult(i(A),B),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(mult(B,i(A)),C),A)). [para(51(a,1),43(a,1,1,2))].
% 71.84/72.14 110 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(51(a,1),43(a,1,2,2))].
% 71.84/72.14 114 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(76(a,1),19(a,1,1))].
% 71.84/72.14 115 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(76(a,1),20(a,1,2))].
% 71.84/72.14 116 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(76(a,1),35(a,1,1))].
% 71.84/72.14 117 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(76(a,1),46(a,1,2))].
% 71.84/72.14 118 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(76(a,1),44(a,1,2,1))].
% 71.84/72.14 119 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(76(a,1),51(a,1,1,2))].
% 71.84/72.14 128 mult(mult(mult(mult(i(A),mult(i(B),i(C))),C),B),mult(i(B),mult(i(C),mult(mult(C,B),mult(A,D))))) = mult(i(B),mult(i(C),mult(mult(C,B),D))). [para(54(a,1),19(a,1,2)),rewrite([76(7),76(5),76(3),76(3),41(7),41(8)])].
% 71.84/72.14 130 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),mult(A,mult(mult(i(A),i(B)),mult(B,D)))) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,D)))). [para(20(a,1),54(a,1,1,2,2,1)),rewrite([41(2),76(2),41(8),76(8),20(12),41(15),76(15),20(19)])].
% 71.84/72.14 133 mult(mult(A,mult(i(B),mult(mult(B,i(A)),C))),mult(A,mult(i(B),mult(mult(B,i(A)),D)))) = mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,D)))). [para(41(a,1),54(a,1,1,1)),rewrite([41(8),41(15)])].
% 71.84/72.14 134 mult(mult(i(A),i(B)),mult(i(A),mult(i(B),mult(mult(B,A),C)))) = mult(i(A),mult(i(B),C)). [para(46(a,1),54(a,1,1,2,2)),rewrite([13(4),76(15),118(18)])].
% 71.84/72.14 137 mult(mult(i(A),mult(i(B),C)),mult(i(A),mult(i(B),mult(mult(B,A),D)))) = mult(i(A),mult(i(B),mult(mult(B,A),mult(mult(mult(i(A),i(B)),C),D)))). [para(44(a,1),54(a,1,1,2,2)),rewrite([76(16)])].
% 71.84/72.14 161 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(94(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.14 162 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(19(a,1),94(a,1,2,1)),rewrite([41(2)]),flip(a)].
% 71.84/72.14 165 mult(mult(i(A),i(B)),mult(B,mult(B,A))) = mult(i(A),mult(B,A)). [para(20(a,1),94(a,1,2,1)),rewrite([76(2)])].
% 71.84/72.14 166 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(44(a,1),94(a,1,2,1)),flip(a)].
% 71.84/72.14 172 mult(A,mult(mult(mult(i(A),i(B)),mult(B,C)),A)) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(85),rewrite([161(7)])].
% 71.84/72.14 180 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [back_rewrite(107),rewrite([166(9)])].
% 71.84/72.14 182 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(i(A),mult(i(B),A))) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(95),rewrite([166(10)])].
% 71.84/72.14 184 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(161(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.14 186 mult(mult(A,B),mult(i(B),mult(A,B))) = mult(A,mult(A,B)). [para(20(a,1),161(a,1,1)),flip(a)].
% 71.84/72.14 196 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(41(a,1),114(a,1,1,2))].
% 71.84/72.14 202 mult(mult(mult(mult(i(A),B),mult(i(B),i(C))),C),mult(i(C),mult(mult(C,B),mult(i(B),mult(A,D))))) = mult(i(C),mult(mult(C,B),mult(i(B),D))). [para(59(a,1),19(a,1,2)),rewrite([76(7),76(5),76(3),41(3),76(4),41(8)])].
% 71.84/72.14 204 mult(mult(i(A),mult(mult(A,B),C)),mult(i(A),mult(mult(A,B),mult(i(B),D)))) = mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),D)))). [para(19(a,1),59(a,1,1,2,2))].
% 71.84/72.14 206 mult(A,mult(i(B),mult(mult(B,A),mult(i(A),C)))) = mult(i(B),mult(mult(B,A),C)). [para(19(a,1),59(a,2,2,2)),rewrite([35(4),13(4),19(3)])].
% 71.84/72.14 223 mult(mult(i(A),B),mult(i(B),mult(mult(A,mult(mult(A,C),i(B))),B))) = mult(A,mult(mult(i(A),B),mult(i(B),mult(mult(A,mult(C,i(B))),B)))). [para(161(a,1),59(a,1,1,2)),rewrite([76(3),41(3),44(7),196(6),76(3),41(3),166(5),110(8),76(13),41(13),166(15),110(19)]),flip(a)].
% 71.84/72.14 249 mult(mult(A,mult(i(B),i(A))),mult(mult(A,mult(B,i(A))),C)) = C. [para(162(a,1),114(a,1,2,1)),rewrite([41(2),76(2)])].
% 71.84/72.14 275 mult(mult(A,mult(B,C)),mult(A,mult(B,mult(mult(i(B),i(A)),D)))) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(mult(mult(A,B),C),D)))). [para(114(a,1),73(a,1,1,2,2)),rewrite([41(2),41(4),41(11)])].
% 71.84/72.14 276 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(A,mult(B,D))) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,mult(mult(A,B),D))))). [para(114(a,1),73(a,1,2,2,2)),rewrite([41(2),41(8),41(11)])].
% 71.84/72.14 285 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(B,mult(i(A),mult(B,mult(mult(i(B),A),C)))). [para(162(a,1),73(a,1,1,2,2)),rewrite([41(4),44(5),19(3),41(12)]),flip(a)].
% 71.84/72.14 289 mult(mult(i(A),B),mult(i(B),mult(A,B))) = B. [para(166(a,1),19(a,1,2)),rewrite([76(3),41(3)])].
% 71.84/72.14 299 mult(mult(i(A),mult(B,A)),mult(i(B),A)) = mult(mult(i(A),B),mult(A,mult(i(B),A))). [para(166(a,1),162(a,1,1)),rewrite([76(6),41(6),76(11),41(11)])].
% 71.84/72.14 330 mult(mult(A,i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(A,i(B)),mult(B,C))). [para(19(a,1),77(a,2,2,2)),rewrite([41(2),35(4),13(4),51(3),41(2),41(7),41(9)]),flip(a)].
% 71.84/72.14 383 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(A,B),mult(i(B),C))))) = mult(mult(A,B),mult(A,mult(mult(i(A),i(B)),C))). [para(184(a,1),77(a,1,1,2)),rewrite([76(5),41(3),41(3),19(3),76(6),41(4),41(4),19(4),76(12),41(10),41(10),19(10)]),flip(a)].
% 71.84/72.14 424 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(289(a,1),161(a,2,2)),rewrite([299(6),180(10),166(11)])].
% 71.84/72.14 435 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(mult(i(C),i(B)),mult(B,mult(C,mult(mult(i(C),A),D))))) = mult(mult(i(C),i(B)),mult(B,mult(C,D))). [para(78(a,1),19(a,1,2)),rewrite([76(6),76(2),76(7),41(5),41(5)])].
% 71.84/72.14 440 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(35(a,1),78(a,1,2,2,2)),rewrite([41(2),41(6),13(8),51(7),41(7),41(10),161(10),19(11)])].
% 71.84/72.14 457 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),i(A))))) = mult(i(A),mult(mult(mult(A,B),C),i(A))). [para(117(a,1),78(a,1,2,2)),rewrite([41(2),76(2),44(4),41(6),76(6),44(8),13(7),161(6),41(8),76(8),44(10),41(11)]),flip(a)].
% 71.84/72.14 476 mult(mult(mult(i(A),mult(mult(B,C),i(D))),D),mult(mult(i(A),mult(mult(B,C),i(D))),mult(mult(D,mult(i(C),i(B))),mult(A,E)))) = mult(mult(i(A),mult(mult(B,C),i(D))),mult(mult(D,mult(i(C),i(B))),mult(A,mult(mult(i(A),mult(B,C)),E)))). [para(119(a,1),78(a,1,1,2)),rewrite([76(6),76(5),41(3),41(3),76(12),76(11),41(9),41(9),76(25),76(24),41(22),41(22)])].
% 71.84/72.14 746 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(83(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.14 751 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(35(a,1),83(a,1,2,2,2)),rewrite([41(2),41(2),13(4),51(3),41(3)]),flip(a)].
% 71.84/72.14 771 mult(mult(mult(i(A),i(B)),mult(B,C)),A) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(83(a,1),162(a,1,1)),rewrite([41(7),746(13),41(15),161(14),172(14),19(15)])].
% 71.84/72.14 792 mult(mult(mult(i(A),B),i(C)),mult(C,mult(i(A),mult(B,A)))) = mult(mult(i(A),B),mult(mult(mult(i(A),B),i(C)),mult(C,A))). [para(289(a,1),83(a,1,2,2,2)),rewrite([76(3),41(3),76(5),41(5),76(12),41(12)]),flip(a)].
% 71.84/72.14 880 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(C,mult(mult(i(C),i(B)),mult(B,mult(mult(i(C),A),D))))) = mult(C,mult(mult(i(C),i(B)),mult(B,D))). [back_rewrite(435),rewrite([746(14),746(21)])].
% 71.84/72.14 903 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(751(a,1),19(a,1,2)),rewrite([76(3),41(2)])].
% 71.84/72.14 904 mult(mult(A,mult(B,A)),B) = mult(mult(A,B),mult(A,B)). [para(19(a,1),751(a,1,2)),rewrite([41(3),161(2)])].
% 71.84/72.14 906 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(20(a,1),751(a,1,1)),flip(a)].
% 71.84/72.14 908 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(41(a,1),751(a,1,1,2))].
% 71.84/72.14 909 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [para(51(a,1),751(a,1,2)),rewrite([76(3),41(2)])].
% 71.84/72.14 913 mult(mult(A,B),mult(i(B),i(B))) = mult(A,i(B)). [para(751(a,1),118(a,1,2))].
% 71.84/72.14 926 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [back_rewrite(904),rewrite([906(6)])].
% 71.84/72.14 927 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(424),rewrite([908(6)])].
% 71.84/72.14 952 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(20(a,1),903(a,1,1)),flip(a)].
% 71.84/72.14 986 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(B,mult(A,A))). [back_rewrite(927),rewrite([952(7)])].
% 71.84/72.14 1003 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(952(a,1),20(a,1,1))].
% 71.84/72.14 1017 mult(mult(A,mult(B,mult(C,mult(B,C)))),mult(i(C),i(B))) = mult(A,mult(B,C)). [para(952(a,1),115(a,1,1)),rewrite([906(3)])].
% 71.84/72.14 1179 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(909(a,1),51(a,1,1)),rewrite([41(4)])].
% 71.84/72.14 1187 mult(mult(A,mult(A,B)),B) = mult(A,mult(A,mult(B,B))). [para(909(a,1),903(a,1,1)),rewrite([1179(3),41(5)]),flip(a)].
% 71.84/72.14 1268 mult(mult(A,mult(A,mult(B,B))),i(B)) = mult(A,mult(A,B)). [para(1179(a,1),1003(a,1,1)),rewrite([1179(7)])].
% 71.84/72.14 1457 mult(mult(A,mult(B,mult(A,B))),C) = mult(mult(A,B),mult(mult(A,B),C)). [para(906(a,1),1179(a,1,1))].
% 71.84/72.14 1475 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),B) = mult(mult(mult(A,C),mult(i(C),i(B))),mult(B,B)). [para(46(a,1),91(a,1,2,1)),rewrite([76(3),76(7),76(9),41(7),41(7),20(8),76(9),76(11),41(9),41(9),20(10),14(8),952(7),76(11),76(15),76(17),41(15),41(15),20(16)]),flip(a)].
% 71.84/72.14 1688 mult(mult(A,mult(B,A)),i(B)) = mult(mult(A,B),mult(A,i(B))). [para(926(a,1),913(a,1,1)),rewrite([1457(7),913(6)]),flip(a)].
% 71.84/72.14 1816 mult(A,mult(mult(mult(B,A),mult(C,A)),i(A))) = mult(mult(A,B),mult(A,C)). [para(20(a,1),99(a,1,2,2)),flip(a)].
% 71.84/72.14 1819 mult(mult(A,mult(i(B),i(A))),mult(i(C),i(A))) = mult(A,mult(mult(i(B),mult(i(A),i(C))),i(A))). [para(99(a,1),76(a,1,1)),rewrite([76(6),76(5),41(2),76(3),76(3),162(8),76(12),76(11),41(10),162(12),76(14)]),flip(a)].
% 71.84/72.14 1910 mult(mult(i(A),B),mult(A,B)) = mult(i(A),mult(B,mult(A,B))). [para(19(a,1),1187(a,1,1,2)),rewrite([906(9),19(10)])].
% 71.84/72.14 2042 mult(mult(i(A),i(B)),mult(B,mult(i(C),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),i(C)),i(B))). [para(100(a,1),76(a,1,1)),rewrite([76(6),76(5),41(2),76(3),76(2),162(8),76(10),76(15),76(14),41(13),162(15)]),flip(a)].
% 71.84/72.14 2477 mult(mult(A,B),mult(i(B),mult(i(A),C))) = mult(i(B),mult(i(A),mult(mult(A,B),C))). [para(35(a,1),128(a,1,1,1,1)),rewrite([14(2),118(9)])].
% 71.84/72.14 2744 mult(i(A),mult(B,mult(mult(i(B),i(A)),mult(A,C)))) = mult(B,mult(mult(i(B),i(A)),C)). [para(46(a,1),130(a,1,1,2,2)),rewrite([13(5),44(4),44(14)])].
% 71.84/72.14 3225 mult(mult(i(A),mult(B,mult(A,B))),mult(i(B),i(A))) = mult(i(A),B). [para(19(a,1),1268(a,2,2)),rewrite([906(5),19(6),76(6)])].
% 71.84/72.14 3227 mult(mult(A,mult(B,mult(i(A),B))),mult(i(B),A)) = mult(A,B). [para(44(a,1),1268(a,2,2)),rewrite([906(5),44(6),76(7),41(7)])].
% 71.84/72.14 3230 mult(mult(mult(i(A),i(B)),mult(C,mult(mult(B,A),C))),mult(i(C),mult(i(A),i(B)))) = mult(mult(i(A),i(B)),C). [para(114(a,1),1268(a,2,2)),rewrite([906(11),114(12),76(10),76(10)])].
% 71.84/72.14 3339 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),B) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))). [para(166(a,1),133(a,1,2,2,2)),rewrite([41(2),41(8),44(11),44(9),41(9)])].
% 71.84/72.14 3632 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(114(a,1),134(a,1,2,2,2)),rewrite([41(2),41(2),41(3),41(3),41(6),41(6)])].
% 71.84/72.14 3649 mult(mult(A,i(B)),mult(A,B)) = mult(A,mult(i(B),mult(A,B))). [para(751(a,1),134(a,1,2,2,2)),rewrite([41(2),41(4),19(5),41(6)])].
% 71.84/72.14 4073 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(116(a,1),137(a,1,2,2,2)),rewrite([41(2),41(2),41(4),41(4),13(4),41(6),41(6),41(9),41(9),161(11),114(12)])].
% 71.84/72.14 7513 mult(mult(mult(i(A),i(B)),i(C)),mult(C,mult(C,mult(B,A)))) = mult(mult(i(A),i(B)),mult(C,mult(B,A))). [para(76(a,1),165(a,1,1,1)),rewrite([76(11)])].
% 71.84/72.14 7528 mult(mult(i(A),i(B)),mult(A,mult(B,A))) = mult(i(A),mult(mult(i(B),mult(A,B)),A)). [para(165(a,1),99(a,2,2,1)),rewrite([41(8),161(7),161(6),19(8),41(12)])].
% 71.84/72.14 7533 mult(mult(i(A),i(B)),mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),mult(C,mult(A,B))),i(B))). [para(100(a,1),165(a,1,2,2)),rewrite([76(2),76(7),76(6),41(5),162(7),2042(8),99(17),51(11),99(15),51(8),7513(9),76(11),100(17)]),flip(a)].
% 71.84/72.14 7970 mult(mult(i(A),mult(B,A)),B) = mult(i(A),mult(B,mult(A,B))). [para(3227(a,1),165(a,1,2,2)),rewrite([76(3),41(3),76(7),76(6),76(5),41(5),161(6),1688(8),196(9),4073(9),1910(7),746(10),44(8),7528(6),44(7),76(7),41(7),3227(13),1910(8)])].
% 71.84/72.14 8041 mult(mult(A,B),mult(B,A)) = mult(A,mult(B,mult(B,A))). [para(20(a,1),3649(a,1,2)),rewrite([41(3),952(2),161(3),1179(2),41(6),20(7)]),flip(a)].
% 71.84/72.14 8407 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),C) = mult(mult(i(A),i(B)),mult(C,mult(mult(B,A),C))). [para(115(a,1),8041(a,1,2)),rewrite([115(18),161(13)])].
% 71.84/72.14 10102 mult(mult(i(A),i(B)),mult(B,mult(mult(C,mult(mult(A,B),C)),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),mult(C,mult(mult(A,B),C))),i(B))). [para(99(a,1),7970(a,2,2,2)),rewrite([76(2),100(8),7533(9),99(13),51(9),8407(7),76(12),99(22),51(16)]),flip(a)].
% 71.84/72.14 11702 mult(mult(i(A),i(B)),mult(mult(mult(mult(B,A),C),i(B)),mult(B,A))) = mult(mult(C,mult(B,A)),mult(i(A),mult(i(B),A))). [para(161(a,1),182(a,1,1,2)),rewrite([114(8)]),flip(a)].
% 71.84/72.14 12176 mult(mult(mult(A,B),mult(i(B),i(C))),C) = mult(i(C),mult(mult(C,B),mult(i(B),A))). [para(35(a,1),202(a,1,2,2,2,2)),rewrite([41(2),13(11),20(10),35(8),13(8)])].
% 71.84/72.14 12219 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(i(C),mult(mult(C,B),mult(i(B),mult(A,C)))). [back_rewrite(1475),rewrite([12176(7)]),flip(a)].
% 71.84/72.14 12429 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),mult(A,B))))) = mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)). [para(186(a,1),204(a,1,2,2)),rewrite([19(8)]),flip(a)].
% 71.84/72.14 12844 mult(i(A),mult(mult(i(B),i(A)),mult(A,mult(mult(B,mult(C,A)),i(A))))) = mult(mult(i(B),i(A)),mult(mult(A,mult(B,i(A))),C)). [para(162(a,1),206(a,1,2,2,1)),rewrite([76(3),41(9),100(9),76(13),162(17)])].
% 71.84/72.14 12845 mult(A,mult(mult(i(B),A),mult(i(A),mult(mult(B,mult(C,i(A))),A)))) = mult(mult(i(B),A),mult(mult(i(A),mult(B,A)),C)). [para(166(a,1),206(a,1,2,2,1)),rewrite([76(3),41(3),110(8),76(13),41(13),166(15)])].
% 71.84/72.14 16802 mult(mult(i(A),i(B)),mult(B,mult(C,i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),C),i(B))). [para(99(a,1),3225(a,1,1,2,2)),rewrite([76(2),99(12),51(6),10102(10),76(14),76(13),41(12),162(14),76(16),1819(18),99(19),51(10),3230(13),76(9)]),flip(a)].
% 71.84/72.14 16809 mult(mult(i(A),i(B)),mult(mult(B,mult(A,i(B))),C)) = mult(mult(i(B),i(A)),mult(A,C)). [back_rewrite(12844),rewrite([16802(10),440(9),20(7),19(8)]),flip(a)].
% 71.84/72.14 16878 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(3632(a,1),19(a,1,2)),rewrite([76(2),746(8)])].
% 71.84/72.14 16894 mult(mult(A,mult(B,C)),mult(mult(i(C),i(B)),mult(A,D))) = mult(A,mult(mult(A,mult(B,C)),mult(mult(i(C),i(B)),D))). [para(115(a,1),3632(a,1,1)),rewrite([115(19)]),flip(a)].
% 71.84/72.14 17249 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(20(a,1),4073(a,1,2)),rewrite([20(10)])].
% 71.84/72.14 17250 mult(A,mult(B,mult(mult(i(B),C),mult(A,B)))) = mult(mult(A,C),mult(A,B)). [para(44(a,1),4073(a,1,1,2)),flip(a)].
% 71.84/72.14 17360 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(4073(a,1),206(a,2,2)),rewrite([76(6),16894(10),51(8),19(8),19(12)])].
% 71.84/72.14 18129 mult(mult(A,mult(B,C)),mult(i(B),i(A))) = mult(A,mult(B,mult(C,mult(i(B),i(A))))). [para(162(a,1),275(a,2,2,2,2)),rewrite([76(7),906(9),44(10),44(8),76(12),114(16)])].
% 71.84/72.14 19238 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(1816(a,1),19(a,1,2)),flip(a)].
% 71.84/72.14 19263 mult(i(A),mult(mult(mult(A,B),mult(A,C)),A)) = mult(mult(B,A),mult(C,A)). [para(1816(a,1),100(a,2,2,1)),rewrite([41(3),19(3),44(6),41(9)]),flip(a)].
% 71.84/72.14 19316 mult(mult(mult(A,B),mult(A,C)),A) = mult(A,mult(mult(B,A),mult(C,A))). [para(1816(a,1),223(a,2,2,2,2,1)),rewrite([35(2),162(8),19238(7),44(8),161(7),19(8),14(6),35(6),19263(11),14(9)])].
% 71.84/72.14 19456 mult(A,mult(mult(i(A),mult(B,A)),mult(C,A))) = mult(mult(B,mult(A,C)),A). [para(44(a,1),19316(a,1,1,1)),rewrite([166(6)]),flip(a)].
% 71.84/72.14 19457 mult(A,mult(mult(B,A),mult(i(A),mult(C,A)))) = mult(mult(mult(A,B),C),A). [para(44(a,1),19316(a,1,1,2)),rewrite([166(7)]),flip(a)].
% 71.84/72.14 19550 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(12845),rewrite([19457(10),440(7),51(5)]),flip(a)].
% 71.84/72.14 20671 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(C,mult(mult(i(C),B),mult(A,C))). [para(17250(a,1),19(a,1,2))].
% 71.84/72.14 20674 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(20(a,1),17250(a,1,2,2,2)),rewrite([41(4),20(11)])].
% 71.84/72.14 20688 mult(mult(mult(i(A),B),C),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(mult(C,i(A)),B),A)). [para(166(a,1),17250(a,1,2,2,2)),rewrite([109(8),44(9),166(13)]),flip(a)].
% 71.84/72.14 20879 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(20(a,1),17360(a,1,1)),rewrite([20(3),41(3)]),flip(a)].
% 71.84/72.14 20888 mult(mult(A,B),mult(mult(mult(A,B),mult(C,mult(A,B))),i(B))) = mult(A,mult(B,mult(mult(mult(A,B),C),A))). [para(161(a,1),17360(a,1,2,1))].
% 71.84/72.14 20988 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(17360(a,1),223(a,2,2,2,2,1)),rewrite([76(2),166(4),20888(13),109(13),20(5),19(8),161(6),19(7),76(7),166(9),109(16),20(10),19(11),161(9),19(10)])].
% 71.84/72.14 21038 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(12429),rewrite([20879(8),19(6)]),flip(a)].
% 71.84/72.14 21239 mult(mult(mult(A,B),i(C)),mult(C,A)) = mult(A,mult(mult(B,i(C)),mult(C,A))). [para(19(a,1),20988(a,1,1,1,1)),rewrite([19(8)])].
% 71.84/72.14 21243 mult(mult(A,B),mult(mult(mult(mult(i(B),i(A)),C),A),B)) = mult(mult(C,A),B). [para(44(a,1),20988(a,1,1,1)),rewrite([76(5)]),flip(a)].
% 71.84/72.14 21950 mult(mult(i(A),mult(B,A)),mult(C,A)) = mult(i(A),mult(mult(B,mult(A,C)),A)). [para(19456(a,1),19(a,1,2)),flip(a)].
% 71.84/72.14 21957 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(51(a,1),19456(a,1,2,1,2)),flip(a)].
% 71.84/72.14 21958 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(51(a,1),19456(a,1,2,2)),flip(a)].
% 71.84/72.14 22104 mult(mult(A,mult(B,C)),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),C)). [para(19456(a,1),4073(a,2,2)),rewrite([44(4)])].
% 71.84/72.14 22733 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19457(a,1),19(a,1,2)),flip(a)].
% 71.84/72.14 22737 mult(mult(mult(i(A),B),mult(C,A)),i(A)) = mult(i(A),mult(mult(B,i(A)),mult(A,C))). [para(20(a,1),19457(a,1,2,2,2)),rewrite([41(5)]),flip(a)].
% 71.84/72.14 22741 mult(mult(mult(A,B),mult(C,i(A))),A) = mult(A,mult(mult(B,A),mult(i(A),C))). [para(51(a,1),19457(a,1,2,2,2)),flip(a)].
% 71.84/72.14 22875 mult(A,mult(B,mult(mult(i(B),i(A)),mult(mult(mult(B,A),C),B)))) = mult(B,mult(A,mult(C,B))). [para(19457(a,1),276(a,2,2,2,2)),rewrite([166(4),44(5),44(3),44(4)]),flip(a)].
% 71.84/72.14 23005 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(i(A),mult(mult(A,C),B)). [para(20674(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.14 23255 mult(i(A),mult(mult(A,B),mult(C,mult(A,B)))) = mult(B,mult(mult(C,A),B)). [para(20879(a,1),206(a,1,2,2)),rewrite([19(5)]),flip(a)].
% 71.84/72.14 23276 mult(mult(A,B),mult(mult(i(B),C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(20879(a,1),275(a,1,2)),rewrite([41(6),76(6),44(8),35(6),14(6),161(6),41(10),76(10),44(12),20(12),2477(15),23255(14),161(9),19(12)])].
% 71.84/72.14 23380 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(19(a,1),21038(a,1,1,2,1)),rewrite([41(2),19(5)]),flip(a)].
% 71.84/72.14 23492 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(i(C),i(B)),mult(mult(B,mult(C,A)),C)). [back_rewrite(11702),rewrite([23380(9)]),flip(a)].
% 71.84/72.14 23667 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(23255(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.14 23696 mult(mult(A,mult(B,mult(mult(C,A),B))),i(B)) = mult(A,mult(mult(B,C),A)). [para(100(a,1),23255(a,1,2,2)),rewrite([99(8),23667(5),19(9),161(10),51(9)])].
% 71.84/72.14 23775 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [back_rewrite(23276),rewrite([23667(6)])].
% 71.84/72.14 23899 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,mult(C,mult(i(B),A)))))) = mult(B,mult(mult(C,i(B)),A)). [para(23667(a,1),285(a,2,2,2,2)),rewrite([44(18),19(16)])].
% 71.84/72.14 23928 mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))) = mult(mult(C,i(A)),mult(A,B)). [para(44(a,1),23380(a,1,1,1)),rewrite([76(6),3339(11)]),flip(a)].
% 71.84/72.14 23940 mult(mult(mult(mult(A,B),C),i(A)),mult(A,mult(B,mult(A,B)))) = mult(mult(mult(A,mult(B,C)),B),mult(A,B)). [para(23380(a,1),952(a,1,1)),rewrite([906(12)]),flip(a)].
% 71.84/72.14 23945 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)). [para(23380(a,1),99(a,2,2,1)),rewrite([41(8),161(7),19(8),41(12)])].
% 71.84/72.14 24001 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(20674(a,1),23380(a,1,1,1)),rewrite([20(5),161(4),23667(4),44(9)]),flip(a)].
% 71.84/72.14 24011 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [back_rewrite(22875),rewrite([23928(9)])].
% 71.84/72.14 24027 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))). [para(19(a,1),24001(a,2,2,2,1)),rewrite([23667(6),51(3)])].
% 71.84/72.14 24028 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [para(20(a,1),24001(a,1,1,2,1)),rewrite([23667(10),23775(10)])].
% 71.84/72.14 24130 mult(mult(A,mult(B,i(C))),mult(C,B)) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(19(a,1),24027(a,2,2,2)),rewrite([162(4),19(5),952(9)])].
% 71.84/72.14 24139 mult(mult(A,mult(B,mult(B,i(C)))),C) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(51(a,1),24027(a,2,2,2)),rewrite([23667(6),162(4),19(5),24130(10)])].
% 71.84/72.14 24275 mult(A,mult(mult(B,mult(A,B)),mult(i(B),C))) = mult(mult(A,mult(B,A)),C). [para(44(a,1),24028(a,1,2)),flip(a)].
% 71.84/72.14 24665 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(20(a,1),24011(a,1,1,1,1)),rewrite([41(3),22733(6),20879(12)])].
% 71.84/72.14 24693 mult(A,mult(mult(mult(mult(mult(B,A),C),i(A)),i(B)),mult(B,A))) = mult(A,mult(B,mult(A,C))). [para(99(a,1),24011(a,1,1,1)),rewrite([21239(9),161(13),51(12)])].
% 71.84/72.14 24765 mult(mult(A,mult(mult(A,B),C)),mult(A,B)) = mult(A,mult(mult(A,mult(B,mult(C,A))),B)). [para(24011(a,1),22104(a,2,2,1)),rewrite([51(5)])].
% 71.84/72.14 24778 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(23945),rewrite([24665(12)])].
% 71.84/72.14 24940 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(24665(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.84/72.14 25027 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(44(a,1),24940(a,1,1,1,2)),rewrite([166(6)]),flip(a)].
% 71.84/72.14 25329 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(44(a,1),25027(a,1,2,2,1,2)),rewrite([76(5),41(5),166(5),19550(7),17249(10)]),flip(a)].
% 71.84/72.14 25330 mult(mult(mult(A,mult(B,i(C))),C),A) = mult(A,mult(C,mult(mult(i(C),B),A))). [para(51(a,1),25027(a,1,2,2,1,2)),flip(a)].
% 71.84/72.14 25397 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [para(25027(a,1),17360(a,2)),rewrite([21950(6),161(8),20(7)])].
% 71.84/72.14 25400 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(23380(a,1),25027(a,2)),rewrite([41(4),100(7),19(8)])].
% 71.84/72.14 25409 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(20674),rewrite([25329(6),162(3),100(5)])].
% 71.84/72.14 25410 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(A,mult(mult(C,i(B)),mult(B,A))). [back_rewrite(17249),rewrite([25329(10)])].
% 71.84/72.14 25413 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(12219),rewrite([25329(13),19(14)])].
% 71.84/72.14 25512 mult(mult(i(A),i(B)),mult(mult(mult(B,C),A),B)) = mult(i(A),mult(C,mult(A,B))). [para(25397(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.14 25520 mult(mult(mult(A,mult(B,mult(i(A),i(C)))),C),A) = mult(mult(A,C),mult(i(C),B)). [para(51(a,1),25397(a,1,2,2)),rewrite([76(6)]),flip(a)].
% 71.84/72.14 25604 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(24778(a,1),25397(a,1,2,2)),rewrite([19(6),44(9)]),flip(a)].
% 71.84/72.14 25643 mult(mult(A,B),mult(C,mult(C,A))) = mult(A,mult(mult(B,mult(C,C)),A)). [para(909(a,1),25604(a,2,2,1)),rewrite([24139(6),20(3),161(4),1179(7)]),flip(a)].
% 71.84/72.14 25703 mult(mult(A,mult(B,mult(i(A),i(C)))),C) = mult(mult(A,C),mult(i(C),mult(B,i(A)))). [para(17360(a,1),383(a,2,2,2)),rewrite([41(11),22733(12),44(13),23005(11),44(9),44(14)])].
% 71.84/72.14 25707 mult(A,mult(mult(mult(B,i(A)),i(C)),mult(C,A))) = mult(mult(A,C),mult(i(C),B)). [back_rewrite(25520),rewrite([25703(6),25410(7)])].
% 71.84/72.14 25708 mult(mult(A,B),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(A,C))). [back_rewrite(24693),rewrite([25707(9)])].
% 71.84/72.14 25713 mult(mult(A,mult(B,mult(B,A))),C) = mult(A,mult(B,mult(B,mult(A,C)))). [para(20(a,1),25643(a,1,1)),rewrite([23667(11),23775(11),1179(6)]),flip(a)].
% 71.84/72.14 25851 mult(i(A),mult(mult(B,A),mult(mult(B,A),mult(i(A),C)))) = mult(mult(i(A),mult(B,mult(A,B))),C). [para(20(a,1),25713(a,1,1,2,2)),rewrite([161(3)]),flip(a)].
% 71.84/72.14 25921 mult(mult(i(A),i(B)),mult(mult(B,mult(A,C)),A)) = mult(mult(C,mult(A,B)),i(B)). [para(25400(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.84/72.14 25931 mult(mult(mult(A,mult(B,C)),B),mult(A,B)) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [para(25400(a,1),161(a,1,1)),rewrite([23667(13),51(10)])].
% 71.84/72.14 25993 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25400(a,1),24011(a,1,1,1)),rewrite([20(5),51(9)])].
% 71.84/72.14 26000 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(23492),rewrite([25921(14)])].
% 71.84/72.14 26001 mult(mult(mult(mult(A,B),C),i(A)),mult(A,mult(B,mult(A,B)))) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [back_rewrite(23940),rewrite([25931(13)])].
% 71.84/72.14 26013 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(44(a,1),25993(a,1,1,2)),flip(a)].
% 71.84/72.14 26114 mult(mult(mult(A,B),mult(mult(A,B),C)),A) = mult(A,mult(B,mult(A,mult(mult(B,C),A)))). [para(161(a,1),25409(a,1,2,2,1)),rewrite([23667(4),23696(6)]),flip(a)].
% 71.84/72.14 26145 mult(mult(i(A),B),mult(mult(mult(C,i(A)),B),A)) = mult(i(A),mult(mult(B,mult(C,mult(i(A),B))),A)). [para(25409(a,1),110(a,1)),rewrite([161(5),20(4),20688(7),161(13),20(12),41(13),20(14)])].
% 71.84/72.14 26162 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(B,mult(i(A),mult(mult(A,C),mult(A,B)))). [para(25409(a,1),206(a,1,2,2)),rewrite([20(4),20(11),41(11)]),flip(a)].
% 71.84/72.14 26187 mult(A,mult(mult(B,mult(mult(C,mult(A,B)),A)),i(A))) = mult(mult(A,B),mult(mult(C,A),B)). [para(25409(a,1),23380(a,2,1)),rewrite([17360(6),162(5),100(7),22104(4),20988(11)])].
% 71.84/72.14 26206 mult(mult(mult(i(A),B),C),mult(i(A),mult(B,A))) = mult(i(A),mult(mult(B,mult(C,mult(i(A),B))),A)). [back_rewrite(20688),rewrite([26145(14)])].
% 71.84/72.14 26520 mult(i(A),mult(mult(A,B),mult(mult(B,A),C))) = mult(B,mult(B,mult(A,C))). [para(25708(a,1),206(a,1,2,2)),rewrite([19(5)]),flip(a)].
% 71.84/72.14 26542 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(mult(B,i(A)),mult(A,C)). [para(285(a,2),25708(a,2)),rewrite([41(4),196(8)]),flip(a)].
% 71.84/72.14 26619 mult(mult(A,i(B)),mult(B,mult(C,mult(i(A),B)))) = mult(A,mult(mult(C,i(A)),B)). [back_rewrite(23899),rewrite([26542(10)])].
% 71.84/72.14 26810 mult(mult(A,B),mult(i(A),mult(mult(A,C),B))) = mult(mult(mult(A,B),C),B). [para(19(a,1),26013(a,1,2,2,2)),rewrite([41(4),19(11)])].
% 71.84/72.14 26815 mult(A,mult(mult(B,i(A)),mult(mult(mult(A,i(B)),C),B))) = mult(mult(A,C),B). [para(51(a,1),26013(a,1,2,2,2)),rewrite([76(5),41(4),51(12)])].
% 71.84/72.14 27448 mult(mult(mult(i(A),i(B)),mult(B,mult(C,i(A)))),mult(A,A)) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(440(a,1),903(a,1,1)),rewrite([771(15)])].
% 71.84/72.14 27471 mult(mult(A,i(B)),mult(B,mult(C,A))) = mult(A,mult(mult(C,B),mult(i(B),A))). [para(440(a,1),25409(a,2)),rewrite([41(7),22741(6),19(7)]),flip(a)].
% 71.84/72.14 27480 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(27448),rewrite([27471(7),986(9),25413(8)]),flip(a)].
% 71.84/72.14 27606 mult(mult(A,B),mult(mult(A,B),mult(i(B),C))) = mult(B,mult(mult(i(B),mult(A,B)),mult(A,C))). [para(20(a,1),26520(a,1,2,2,1)),rewrite([41(2)]),flip(a)].
% 71.84/72.14 27650 mult(A,mult(A,mult(mult(i(A),i(B)),mult(B,C)))) = mult(mult(A,B),mult(i(B),C)). [para(249(a,1),26520(a,1,2,2)),rewrite([76(4),41(2),41(2),51(5),16809(12)]),flip(a)].
% 71.84/72.14 27697 mult(mult(i(A),mult(B,mult(A,B))),C) = mult(mult(i(A),mult(B,A)),mult(B,C)). [back_rewrite(25851),rewrite([27606(7),19(8)]),flip(a)].
% 71.84/72.14 28569 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(C,mult(B,A)),i(A))))) = mult(i(A),mult(mult(A,C),B)). [para(25397(a,1),457(a,2,2,1)),rewrite([44(8),20(16)])].
% 71.84/72.14 28976 mult(i(A),mult(mult(A,B),mult(i(B),C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(24275(a,1),476(a,2,2,2)),rewrite([46(3),14(4),51(4),46(4),14(5),41(6),46(6),13(6),41(6),746(8),746(7),27650(8),46(9),14(10),41(11),46(11),13(11),35(11),13(11),746(12)])].
% 71.84/72.14 28977 mult(mult(mult(A,mult(B,C)),B),mult(i(B),i(C))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(28569),rewrite([28976(10),27471(9),44(10)])].
% 71.93/72.23 29100 mult(A,mult(B,mult(i(A),mult(mult(A,C),B)))) = mult(mult(A,mult(B,C)),B). [para(23380(a,1),1017(a,2)),rewrite([26001(8),18129(9),28977(7)])].
% 71.93/72.23 29143 mult(mult(A,i(B)),mult(B,mult(mult(A,C),B))) = mult(A,mult(B,mult(mult(i(B),A),mult(C,B)))). [para(29100(a,1),330(a,2,2)),rewrite([76(5),41(4),26815(10),21957(11)])].
% 71.93/72.23 29829 mult(A,mult(mult(i(A),i(B)),mult(mult(C,B),A))) = mult(i(B),mult(C,mult(B,A))). [para(25027(a,1),746(a,1,2)),rewrite([25512(7),29143(13),44(14)]),flip(a)].
% 71.93/72.23 30577 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(C,mult(mult(mult(i(C),i(A)),B),A)). [para(792(a,1),746(a,1,2)),rewrite([76(6),41(3),76(4),41(4),19(5),196(12),76(12),41(9),76(10),41(10),19(11),26206(16),22733(17),26619(15),161(13),19(14)])].
% 71.93/72.23 31855 mult(i(A),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(mult(i(B),i(A)),C))). [para(3632(a,1),880(a,1,1)),rewrite([41(3),41(4),35(3),14(3),19(3),41(2),41(3),76(3),41(6),51(5),41(5),76(5),51(7),2477(8),28976(7),2744(8),41(8),41(9),76(9),41(12),51(11),2477(12)]),flip(a)].
% 71.93/72.23 32136 mult(A,mult(B,mult(i(A),mult(mult(A,C),mult(A,B))))) = mult(mult(A,B),mult(mult(C,A),B)). [para(29100(a,1),16878(a,1,2,2)),rewrite([24765(8),27480(9),162(6),100(8),22104(5),26187(8),44(7)]),flip(a)].
% 71.93/72.23 32512 mult(mult(A,B),mult(mult(mult(i(B),i(A)),C),B)) = mult(A,mult(mult(i(A),C),B)). [para(19(a,1),20671(a,1,2,2)),rewrite([41(2),76(7),19(12)]),flip(a)].
% 71.93/72.23 32914 mult(mult(mult(mult(i(A),i(B)),C),B),A) = mult(mult(i(A),i(B)),mult(mult(C,B),A)). [para(21243(a,1),19(a,1,2)),rewrite([76(2)]),flip(a)].
% 71.93/72.23 32915 mult(A,mult(mult(mult(i(A),B),mult(A,C)),i(C))) = mult(mult(B,mult(A,C)),i(C)). [para(20(a,1),21243(a,1,1)),rewrite([41(2),76(2),44(4)])].
% 71.93/72.23 32943 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(21243(a,1),23380(a,1,1,1)),rewrite([32914(12),29829(13),44(11)])].
% 71.93/72.23 32952 mult(A,mult(B,mult(mult(i(B),mult(i(A),C)),A))) = mult(B,mult(mult(i(B),C),A)). [para(26810(a,1),21243(a,1,2,1,1)),rewrite([51(8),32512(7),41(6),25330(11)]),flip(a)].
% 71.93/72.23 32995 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(mult(B,A),C)) = mult(mult(mult(C,B),A),C). [para(114(a,1),32943(a,1,1,1)),rewrite([41(2),25329(6),162(3),100(5),25409(6),31855(9)]),flip(a)].
% 71.93/72.23 33558 mult(A,mult(mult(i(A),mult(B,A)),mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(B,A),C),A). [para(25409(a,1),21958(a,2)),rewrite([44(4),76(6),76(4),41(7),166(6),26000(7),21958(9),44(13)])].
% 71.93/72.23 33941 mult(A,mult(mult(i(A),mult(mult(A,B),C)),C)) = mult(mult(A,mult(B,C)),C). [para(22733(a,1),23380(a,1,1,1)),rewrite([30577(9),23005(7),44(10)])].
% 71.93/72.23 33945 mult(mult(i(A),mult(B,A)),mult(B,mult(C,A))) = mult(i(A),mult(B,mult(A,mult(mult(B,C),A)))). [para(22733(a,1),25713(a,2,2,2)),rewrite([20(5),161(3),27697(6),22733(14),26114(13),19(14)])].
% 71.93/72.23 33977 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(mult(mult(B,C),A),B). [para(114(a,1),33941(a,1,2,1,2)),rewrite([41(3),31855(12),32995(15)])].
% 71.93/72.23 34098 mult(A,mult(i(B),mult(mult(B,C),mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(26162),rewrite([33977(6)]),flip(a)].
% 71.93/72.23 34106 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [back_rewrite(32136),rewrite([34098(6)]),flip(a)].
% 71.93/72.23 34141 mult(A,mult(mult(B,mult(A,C)),i(C))) = mult(A,mult(C,mult(mult(i(C),B),A))). [para(20(a,1),34106(a,1,1)),rewrite([22737(12),25397(13),25330(10)])].
% 71.93/72.23 34238 mult(mult(A,mult(B,C)),i(C)) = mult(C,mult(mult(i(C),A),B)). [back_rewrite(32915),rewrite([34141(7),32952(7)]),flip(a)].
% 71.93/72.23 34595 mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))). [back_rewrite(33558),rewrite([34238(7),33945(8),44(4),44(6)]),flip(a)].
% 71.93/72.23 34596 $F # answer(goals). [resolve(34595,a,26,a)].
% 71.93/72.23
% 71.93/72.23 % SZS output end Refutation
% 71.93/72.23 ============================== end of proof ==========================
% 71.93/72.23
% 71.93/72.23 ============================== PROOF =================================
% 71.93/72.23 % SZS status Theorem
% 71.93/72.23 % SZS output start Refutation
% 71.93/72.23
% 71.93/72.23 % Proof 4 at 70.52 (+ 0.71) seconds: goals.
% 71.93/72.23 % Length of proof is 328.
% 71.93/72.23 % Level of proof is 39.
% 71.93/72.23 % Maximum clause weight is 66.000.
% 71.93/72.23 % Given clauses 838.
% 71.93/72.23
% 71.93/72.23 1 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption].
% 71.93/72.23 3 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption].
% 71.93/72.23 4 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption].
% 71.93/72.23 5 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption].
% 71.93/72.23 6 (all A mult(unit,A) = A) # label(f06) # label(axiom) # label(non_clause). [assumption].
% 71.93/72.23 7 (all D all C all B all A ld(mult(A,B),mult(A,mult(B,mult(C,D)))) = mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D))))) # label(f07) # label(axiom) # label(non_clause). [assumption].
% 71.93/72.23 8 (all D all C all B all A rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D)))) # label(f08) # label(axiom) # label(non_clause). [assumption].
% 71.93/72.23 9 (all C all B all A ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A)))) # label(f09) # label(axiom) # label(non_clause). [assumption].
% 71.93/72.23 10 (all B all A mult(i(A),mult(A,B)) = B) # label(f10) # label(axiom) # label(non_clause). [assumption].
% 71.93/72.23 11 (all B all A mult(mult(A,B),i(B)) = A) # label(f11) # label(axiom) # label(non_clause). [assumption].
% 71.93/72.23 12 -((all X0 all X1 all X2 mult(X2,mult(X0,mult(X2,X1))) = mult(mult(mult(X2,X0),X2),X1)) | (all X3 all X4 all X5 mult(X3,mult(X5,mult(X4,X5))) = mult(mult(mult(X3,X5),X4),X5)) | (all X6 all X7 all X8 mult(mult(X8,X6),mult(X7,X8)) = mult(mult(X8,mult(X6,X7)),X8)) | (all X9 all X10 all X11 mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11)))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption].
% 71.93/72.23 13 mult(A,unit) = A # label(f05) # label(axiom). [clausify(5)].
% 71.93/72.23 14 mult(unit,A) = A # label(f06) # label(axiom). [clausify(6)].
% 71.93/72.23 15 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(1)].
% 71.93/72.23 17 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(3)].
% 71.93/72.23 18 rd(mult(A,B),B) = A # label(f04) # label(axiom). [clausify(4)].
% 71.93/72.23 19 mult(i(A),mult(A,B)) = B # label(f10) # label(axiom). [clausify(10)].
% 71.93/72.23 20 mult(mult(A,B),i(B)) = A # label(f11) # label(axiom). [clausify(11)].
% 71.93/72.23 21 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)) # label(f09) # label(axiom). [clausify(9)].
% 71.93/72.23 22 mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D)))) # label(f07) # label(axiom). [clausify(7)].
% 71.93/72.23 23 rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) # label(f08) # label(axiom). [clausify(8)].
% 71.93/72.23 24 mult(rd(mult(mult(A,B),C),mult(B,C)),rd(mult(mult(D,B),C),mult(B,C))) = rd(mult(mult(mult(A,D),B),C),mult(B,C)). [copy(23),flip(a)].
% 71.93/72.23 25 mult(mult(mult(c3,c1),c3),c2) != mult(c3,mult(c1,mult(c3,c2))) # label(goals) # label(negated_conjecture) # answer(goals). [clausify(12)].
% 71.93/72.23 34 rd(A,ld(B,A)) = B. [para(15(a,1),18(a,1,1))].
% 71.93/72.23 35 mult(i(A),A) = unit. [para(13(a,1),19(a,1,2))].
% 71.93/72.23 37 ld(A,B) = mult(i(A),B). [para(15(a,1),19(a,1,2)),flip(a)].
% 71.93/72.23 40 rd(A,mult(B,A)) = i(B). [para(19(a,1),18(a,1,1))].
% 71.93/72.23 41 i(i(A)) = A. [back_rewrite(34),rewrite([37(1),40(3)])].
% 71.93/72.23 42 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,D)))). [back_rewrite(22),rewrite([37(4),37(9),37(16)])].
% 71.93/72.23 43 mult(mult(i(A),mult(B,A)),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(21),rewrite([37(2),37(5),37(10)])].
% 71.93/72.23 44 mult(A,mult(i(A),B)) = B. [back_rewrite(15),rewrite([37(1)])].
% 71.93/72.23 46 mult(A,i(A)) = unit. [para(14(a,1),20(a,1,1))].
% 71.93/72.23 47 rd(A,B) = mult(A,i(B)). [para(17(a,1),20(a,1,1)),flip(a)].
% 71.93/72.23 48 mult(i(mult(A,B)),A) = i(B). [para(20(a,1),19(a,1,2))].
% 71.93/72.23 50 mult(mult(mult(mult(A,B),C),i(mult(B,C))),mult(mult(mult(D,B),C),i(mult(B,C)))) = mult(mult(mult(mult(A,D),B),C),i(mult(B,C))). [back_rewrite(24),rewrite([47(4),47(9),47(16)])].
% 71.93/72.23 51 mult(mult(A,i(B)),B) = A. [back_rewrite(17),rewrite([47(1)])].
% 71.93/72.23 54 mult(mult(i(A),mult(i(B),mult(mult(B,A),C))),mult(i(A),mult(i(B),mult(mult(B,A),D)))) = mult(i(A),mult(i(B),mult(mult(B,A),mult(C,D)))). [para(19(a,1),42(a,1,1,1,1)),rewrite([19(9),19(16)])].
% 71.93/72.23 57 mult(A,mult(i(mult(B,i(A))),mult(B,mult(i(A),C)))) = mult(i(mult(B,i(A))),mult(B,C)). [para(19(a,1),42(a,2,2,2)),rewrite([35(5),13(5),48(4),41(2)])].
% 71.93/72.23 59 mult(mult(i(A),mult(mult(A,B),mult(i(B),C))),mult(i(A),mult(mult(A,B),mult(i(B),D)))) = mult(i(A),mult(mult(A,B),mult(i(B),mult(C,D)))). [para(20(a,1),42(a,1,1,1,1)),rewrite([20(9),20(16)])].
% 71.93/72.23 64 mult(mult(A,mult(i(mult(B,A)),mult(B,C))),A) = mult(A,mult(i(mult(B,A)),mult(B,mult(C,A)))). [para(35(a,1),42(a,1,2,2)),rewrite([48(3),41(2),48(8),41(7),13(7),48(9),41(8)])].
% 71.93/72.23 66 mult(i(A),mult(i(mult(B,A)),mult(B,mult(A,C)))) = mult(i(mult(B,A)),mult(B,C)). [para(46(a,1),42(a,1,1,2,2)),rewrite([13(4),48(3),44(12)])].
% 71.93/72.23 73 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),mult(i(A),mult(B,mult(mult(i(B),A),D)))) = mult(i(A),mult(B,mult(mult(i(B),A),mult(C,D)))). [para(44(a,1),42(a,1,1,1,1)),rewrite([44(9),44(16)])].
% 71.93/72.23 74 mult(mult(i(mult(A,B)),mult(A,C)),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(mult(i(B),C),D)))). [para(44(a,1),42(a,1,1,2,2))].
% 71.93/72.23 75 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,D))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,mult(i(B),D))))). [para(44(a,1),42(a,1,2,2,2))].
% 71.93/72.23 76 i(mult(A,B)) = mult(i(B),i(A)). [para(19(a,1),48(a,1,1,1)),flip(a)].
% 71.93/72.23 77 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),mult(mult(i(A),i(B)),mult(B,D))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,mult(i(A),D))))). [back_rewrite(75),rewrite([76(2),76(8),76(14)])].
% 71.93/72.23 78 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(mult(i(A),i(B)),mult(B,mult(A,D)))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(mult(i(A),C),D)))). [back_rewrite(74),rewrite([76(2),76(7),76(14)])].
% 71.93/72.23 83 mult(i(A),mult(mult(i(A),i(B)),mult(B,mult(A,C)))) = mult(mult(i(A),i(B)),mult(B,C)). [back_rewrite(66),rewrite([76(3),76(10)])].
% 71.93/72.23 85 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),A) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(64),rewrite([76(2),76(9)])].
% 71.93/72.23 89 mult(A,mult(mult(A,i(B)),mult(B,mult(i(A),C)))) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(57),rewrite([76(3),41(2),76(10),41(9)])].
% 71.93/72.23 91 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(mult(D,B),C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,D),B),C),mult(i(C),i(B))). [back_rewrite(50),rewrite([76(4),76(10),76(18)])].
% 71.93/72.23 94 mult(i(A),mult(mult(A,B),A)) = mult(B,A). [para(19(a,1),43(a,1,1)),rewrite([44(4)]),flip(a)].
% 71.93/72.23 95 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(mult(i(A),i(B)),A)) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [para(19(a,1),43(a,1,2,2)),rewrite([76(2),76(8),76(13)])].
% 71.93/72.23 99 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(20(a,1),43(a,1,1,2)),rewrite([41(2),41(3),41(7)])].
% 71.93/72.23 100 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(20(a,1),43(a,1,2,2)),rewrite([41(2),41(5),41(7)])].
% 71.93/72.23 107 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(mult(i(A),B),A)) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [para(44(a,1),43(a,1,2,2)),rewrite([76(3),41(3),76(9),41(9),76(13),41(13)])].
% 71.93/72.23 109 mult(mult(i(A),B),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(mult(B,i(A)),C),A)). [para(51(a,1),43(a,1,1,2))].
% 71.93/72.23 110 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(51(a,1),43(a,1,2,2))].
% 71.93/72.23 114 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(76(a,1),19(a,1,1))].
% 71.93/72.23 115 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(76(a,1),20(a,1,2))].
% 71.93/72.23 116 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(76(a,1),35(a,1,1))].
% 71.93/72.23 117 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(76(a,1),46(a,1,2))].
% 71.93/72.23 118 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(76(a,1),44(a,1,2,1))].
% 71.93/72.23 119 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(76(a,1),51(a,1,1,2))].
% 71.93/72.23 121 mult(mult(i(A),B),mult(i(B),A)) = unit. [para(41(a,1),116(a,1,1,2))].
% 71.93/72.23 128 mult(mult(mult(mult(i(A),mult(i(B),i(C))),C),B),mult(i(B),mult(i(C),mult(mult(C,B),mult(A,D))))) = mult(i(B),mult(i(C),mult(mult(C,B),D))). [para(54(a,1),19(a,1,2)),rewrite([76(7),76(5),76(3),76(3),41(7),41(8)])].
% 71.93/72.23 130 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),mult(A,mult(mult(i(A),i(B)),mult(B,D)))) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,D)))). [para(20(a,1),54(a,1,1,2,2,1)),rewrite([41(2),76(2),41(8),76(8),20(12),41(15),76(15),20(19)])].
% 71.93/72.23 133 mult(mult(A,mult(i(B),mult(mult(B,i(A)),C))),mult(A,mult(i(B),mult(mult(B,i(A)),D)))) = mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,D)))). [para(41(a,1),54(a,1,1,1)),rewrite([41(8),41(15)])].
% 71.93/72.23 134 mult(mult(i(A),i(B)),mult(i(A),mult(i(B),mult(mult(B,A),C)))) = mult(i(A),mult(i(B),C)). [para(46(a,1),54(a,1,1,2,2)),rewrite([13(4),76(15),118(18)])].
% 71.93/72.23 137 mult(mult(i(A),mult(i(B),C)),mult(i(A),mult(i(B),mult(mult(B,A),D)))) = mult(i(A),mult(i(B),mult(mult(B,A),mult(mult(mult(i(A),i(B)),C),D)))). [para(44(a,1),54(a,1,1,2,2)),rewrite([76(16)])].
% 71.93/72.23 161 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(94(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.93/72.23 162 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(19(a,1),94(a,1,2,1)),rewrite([41(2)]),flip(a)].
% 71.93/72.23 165 mult(mult(i(A),i(B)),mult(B,mult(B,A))) = mult(i(A),mult(B,A)). [para(20(a,1),94(a,1,2,1)),rewrite([76(2)])].
% 71.93/72.23 166 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(44(a,1),94(a,1,2,1)),flip(a)].
% 71.93/72.23 172 mult(A,mult(mult(mult(i(A),i(B)),mult(B,C)),A)) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(85),rewrite([161(7)])].
% 71.93/72.23 174 mult(mult(c3,mult(c1,c3)),c2) != mult(c3,mult(c1,mult(c3,c2))) # answer(goals). [back_rewrite(25),rewrite([161(5)])].
% 71.93/72.23 180 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [back_rewrite(107),rewrite([166(9)])].
% 71.93/72.23 182 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(i(A),mult(i(B),A))) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(95),rewrite([166(10)])].
% 71.93/72.23 184 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(161(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.93/72.23 186 mult(mult(A,B),mult(i(B),mult(A,B))) = mult(A,mult(A,B)). [para(20(a,1),161(a,1,1)),flip(a)].
% 71.93/72.23 196 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(41(a,1),114(a,1,1,2))].
% 71.93/72.23 202 mult(mult(mult(mult(i(A),B),mult(i(B),i(C))),C),mult(i(C),mult(mult(C,B),mult(i(B),mult(A,D))))) = mult(i(C),mult(mult(C,B),mult(i(B),D))). [para(59(a,1),19(a,1,2)),rewrite([76(7),76(5),76(3),41(3),76(4),41(8)])].
% 71.93/72.23 204 mult(mult(i(A),mult(mult(A,B),C)),mult(i(A),mult(mult(A,B),mult(i(B),D)))) = mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),D)))). [para(19(a,1),59(a,1,1,2,2))].
% 71.93/72.23 206 mult(A,mult(i(B),mult(mult(B,A),mult(i(A),C)))) = mult(i(B),mult(mult(B,A),C)). [para(19(a,1),59(a,2,2,2)),rewrite([35(4),13(4),19(3)])].
% 71.93/72.23 222 mult(mult(mult(i(A),i(B)),mult(mult(B,mult(A,B)),mult(i(B),C))),mult(mult(i(A),i(B)),mult(mult(B,mult(A,B)),mult(i(B),D)))) = mult(mult(i(A),i(B)),mult(mult(B,mult(A,B)),mult(i(B),mult(C,D)))). [para(161(a,1),59(a,1,1,2,1)),rewrite([76(2),76(11),161(14),76(21),161(24)])].
% 71.93/72.23 223 mult(mult(i(A),B),mult(i(B),mult(mult(A,mult(mult(A,C),i(B))),B))) = mult(A,mult(mult(i(A),B),mult(i(B),mult(mult(A,mult(C,i(B))),B)))). [para(161(a,1),59(a,1,1,2)),rewrite([76(3),41(3),44(7),196(6),76(3),41(3),166(5),110(8),76(13),41(13),166(15),110(19)]),flip(a)].
% 71.93/72.23 230 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(41(a,1),115(a,1,2,2))].
% 71.93/72.23 249 mult(mult(A,mult(i(B),i(A))),mult(mult(A,mult(B,i(A))),C)) = C. [para(162(a,1),114(a,1,2,1)),rewrite([41(2),76(2)])].
% 71.93/72.23 252 mult(mult(A,mult(B,i(A))),mult(mult(A,mult(i(B),i(A))),C)) = C. [para(162(a,1),118(a,1,1)),rewrite([41(5),76(5)])].
% 71.93/72.23 275 mult(mult(A,mult(B,C)),mult(A,mult(B,mult(mult(i(B),i(A)),D)))) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(mult(mult(A,B),C),D)))). [para(114(a,1),73(a,1,1,2,2)),rewrite([41(2),41(4),41(11)])].
% 71.93/72.23 276 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(A,mult(B,D))) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,mult(mult(A,B),D))))). [para(114(a,1),73(a,1,2,2,2)),rewrite([41(2),41(8),41(11)])].
% 71.93/72.23 285 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(B,mult(i(A),mult(B,mult(mult(i(B),A),C)))). [para(162(a,1),73(a,1,1,2,2)),rewrite([41(4),44(5),19(3),41(12)]),flip(a)].
% 71.93/72.23 286 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),B) = mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))). [para(162(a,1),73(a,1,2,2,2)),rewrite([41(10),44(11),19(9),41(12)])].
% 71.93/72.23 289 mult(mult(i(A),B),mult(i(B),mult(A,B))) = B. [para(166(a,1),19(a,1,2)),rewrite([76(3),41(3)])].
% 71.93/72.23 293 mult(mult(i(A),mult(i(B),A)),mult(mult(i(A),mult(B,A)),C)) = C. [para(166(a,1),114(a,1,2,1)),rewrite([76(4),41(4)])].
% 71.93/72.23 299 mult(mult(i(A),mult(B,A)),mult(i(B),A)) = mult(mult(i(A),B),mult(A,mult(i(B),A))). [para(166(a,1),162(a,1,1)),rewrite([76(6),41(6),76(11),41(11)])].
% 71.93/72.23 330 mult(mult(A,i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(A,i(B)),mult(B,C))). [para(19(a,1),77(a,2,2,2)),rewrite([41(2),35(4),13(4),51(3),41(2),41(7),41(9)]),flip(a)].
% 71.93/72.23 383 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(A,B),mult(i(B),C))))) = mult(mult(A,B),mult(A,mult(mult(i(A),i(B)),C))). [para(184(a,1),77(a,1,1,2)),rewrite([76(5),41(3),41(3),19(3),76(6),41(4),41(4),19(4),76(12),41(10),41(10),19(10)]),flip(a)].
% 71.93/72.23 424 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(289(a,1),161(a,2,2)),rewrite([299(6),180(10),166(11)])].
% 71.93/72.23 435 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(mult(i(C),i(B)),mult(B,mult(C,mult(mult(i(C),A),D))))) = mult(mult(i(C),i(B)),mult(B,mult(C,D))). [para(78(a,1),19(a,1,2)),rewrite([76(6),76(2),76(7),41(5),41(5)])].
% 71.93/72.23 440 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(35(a,1),78(a,1,2,2,2)),rewrite([41(2),41(6),13(8),51(7),41(7),41(10),161(10),19(11)])].
% 71.93/72.23 457 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),i(A))))) = mult(i(A),mult(mult(mult(A,B),C),i(A))). [para(117(a,1),78(a,1,2,2)),rewrite([41(2),76(2),44(4),41(6),76(6),44(8),13(7),161(6),41(8),76(8),44(10),41(11)]),flip(a)].
% 71.93/72.23 470 mult(mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),D),mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),mult(mult(D,mult(C,B)),mult(A,E)))) = mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),mult(mult(D,mult(C,B)),mult(A,mult(mult(i(A),mult(i(B),i(C))),E)))). [para(115(a,1),78(a,1,1,2)),rewrite([76(4),76(3),76(12),76(11),76(25),76(24)])].
% 71.93/72.23 476 mult(mult(mult(i(A),mult(mult(B,C),i(D))),D),mult(mult(i(A),mult(mult(B,C),i(D))),mult(mult(D,mult(i(C),i(B))),mult(A,E)))) = mult(mult(i(A),mult(mult(B,C),i(D))),mult(mult(D,mult(i(C),i(B))),mult(A,mult(mult(i(A),mult(B,C)),E)))). [para(119(a,1),78(a,1,1,2)),rewrite([76(6),76(5),41(3),41(3),76(12),76(11),41(9),41(9),76(25),76(24),41(22),41(22)])].
% 71.93/72.23 746 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(83(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.93/72.23 751 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(35(a,1),83(a,1,2,2,2)),rewrite([41(2),41(2),13(4),51(3),41(3)]),flip(a)].
% 71.93/72.23 768 mult(mult(A,mult(mult(i(A),i(B)),i(C))),mult(mult(C,mult(B,A)),i(B))) = mult(A,mult(mult(A,mult(mult(i(A),i(B)),i(C))),C)). [para(115(a,1),83(a,1,2,2)),rewrite([41(2),41(2),76(3),76(2),41(10),76(11),76(10)]),flip(a)].
% 71.93/72.23 771 mult(mult(mult(i(A),i(B)),mult(B,C)),A) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(83(a,1),162(a,1,1)),rewrite([41(7),746(13),41(15),161(14),172(14),19(15)])].
% 71.93/72.23 792 mult(mult(mult(i(A),B),i(C)),mult(C,mult(i(A),mult(B,A)))) = mult(mult(i(A),B),mult(mult(mult(i(A),B),i(C)),mult(C,A))). [para(289(a,1),83(a,1,2,2,2)),rewrite([76(3),41(3),76(5),41(5),76(12),41(12)]),flip(a)].
% 71.93/72.23 880 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(C,mult(mult(i(C),i(B)),mult(B,mult(mult(i(C),A),D))))) = mult(C,mult(mult(i(C),i(B)),mult(B,D))). [back_rewrite(435),rewrite([746(14),746(21)])].
% 71.93/72.23 903 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(751(a,1),19(a,1,2)),rewrite([76(3),41(2)])].
% 71.93/72.23 904 mult(mult(A,mult(B,A)),B) = mult(mult(A,B),mult(A,B)). [para(19(a,1),751(a,1,2)),rewrite([41(3),161(2)])].
% 71.93/72.23 906 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(20(a,1),751(a,1,1)),flip(a)].
% 71.93/72.23 908 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(41(a,1),751(a,1,1,2))].
% 71.93/72.23 909 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [para(51(a,1),751(a,1,2)),rewrite([76(3),41(2)])].
% 71.93/72.23 913 mult(mult(A,B),mult(i(B),i(B))) = mult(A,i(B)). [para(751(a,1),118(a,1,2))].
% 71.93/72.23 926 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [back_rewrite(904),rewrite([906(6)])].
% 71.93/72.23 927 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(424),rewrite([908(6)])].
% 71.93/72.23 952 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(20(a,1),903(a,1,1)),flip(a)].
% 71.93/72.23 986 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(B,mult(A,A))). [back_rewrite(927),rewrite([952(7)])].
% 71.93/72.23 1003 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(952(a,1),20(a,1,1))].
% 71.93/72.23 1004 mult(mult(A,mult(i(B),i(B))),B) = mult(A,i(B)). [para(952(a,1),51(a,1,1))].
% 71.93/72.23 1017 mult(mult(A,mult(B,mult(C,mult(B,C)))),mult(i(C),i(B))) = mult(A,mult(B,C)). [para(952(a,1),115(a,1,1)),rewrite([906(3)])].
% 71.93/72.23 1179 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(909(a,1),51(a,1,1)),rewrite([41(4)])].
% 71.93/72.23 1187 mult(mult(A,mult(A,B)),B) = mult(A,mult(A,mult(B,B))). [para(909(a,1),903(a,1,1)),rewrite([1179(3),41(5)]),flip(a)].
% 71.93/72.23 1268 mult(mult(A,mult(A,mult(B,B))),i(B)) = mult(A,mult(A,B)). [para(1179(a,1),1003(a,1,1)),rewrite([1179(7)])].
% 71.93/72.23 1278 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(i(A),mult(mult(A,i(B)),mult(B,C))). [para(89(a,1),19(a,1,2)),flip(a)].
% 71.93/72.23 1457 mult(mult(A,mult(B,mult(A,B))),C) = mult(mult(A,B),mult(mult(A,B),C)). [para(906(a,1),1179(a,1,1))].
% 71.93/72.23 1475 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),B) = mult(mult(mult(A,C),mult(i(C),i(B))),mult(B,B)). [para(46(a,1),91(a,1,2,1)),rewrite([76(3),76(7),76(9),41(7),41(7),20(8),76(9),76(11),41(9),41(9),20(10),14(8),952(7),76(11),76(15),76(17),41(15),41(15),20(16)]),flip(a)].
% 71.93/72.23 1688 mult(mult(A,mult(B,A)),i(B)) = mult(mult(A,B),mult(A,i(B))). [para(926(a,1),913(a,1,1)),rewrite([1457(7),913(6)]),flip(a)].
% 71.93/72.23 1816 mult(A,mult(mult(mult(B,A),mult(C,A)),i(A))) = mult(mult(A,B),mult(A,C)). [para(20(a,1),99(a,1,2,2)),flip(a)].
% 71.93/72.23 1819 mult(mult(A,mult(i(B),i(A))),mult(i(C),i(A))) = mult(A,mult(mult(i(B),mult(i(A),i(C))),i(A))). [para(99(a,1),76(a,1,1)),rewrite([76(6),76(5),41(2),76(3),76(3),162(8),76(12),76(11),41(10),162(12),76(14)]),flip(a)].
% 71.93/72.23 1910 mult(mult(i(A),B),mult(A,B)) = mult(i(A),mult(B,mult(A,B))). [para(19(a,1),1187(a,1,1,2)),rewrite([906(9),19(10)])].
% 71.93/72.23 2042 mult(mult(i(A),i(B)),mult(B,mult(i(C),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),i(C)),i(B))). [para(100(a,1),76(a,1,1)),rewrite([76(6),76(5),41(2),76(3),76(2),162(8),76(10),76(15),76(14),41(13),162(15)]),flip(a)].
% 71.93/72.23 2477 mult(mult(A,B),mult(i(B),mult(i(A),C))) = mult(i(B),mult(i(A),mult(mult(A,B),C))). [para(35(a,1),128(a,1,1,1,1)),rewrite([14(2),118(9)])].
% 71.93/72.23 2509 mult(mult(i(A),B),mult(i(B),mult(A,C))) = mult(i(B),mult(A,mult(mult(i(A),B),C))). [para(196(a,1),128(a,1,2,2,2)),rewrite([76(3),41(3),41(5),121(5),14(3),41(5),41(9)])].
% 71.93/72.23 2744 mult(i(A),mult(B,mult(mult(i(B),i(A)),mult(A,C)))) = mult(B,mult(mult(i(B),i(A)),C)). [para(46(a,1),130(a,1,1,2,2)),rewrite([13(5),44(4),44(14)])].
% 71.93/72.23 3225 mult(mult(i(A),mult(B,mult(A,B))),mult(i(B),i(A))) = mult(i(A),B). [para(19(a,1),1268(a,2,2)),rewrite([906(5),19(6),76(6)])].
% 71.93/72.23 3227 mult(mult(A,mult(B,mult(i(A),B))),mult(i(B),A)) = mult(A,B). [para(44(a,1),1268(a,2,2)),rewrite([906(5),44(6),76(7),41(7)])].
% 71.93/72.23 3230 mult(mult(mult(i(A),i(B)),mult(C,mult(mult(B,A),C))),mult(i(C),mult(i(A),i(B)))) = mult(mult(i(A),i(B)),C). [para(114(a,1),1268(a,2,2)),rewrite([906(11),114(12),76(10),76(10)])].
% 71.93/72.23 3328 mult(mult(A,mult(i(B),mult(mult(B,i(A)),C))),B) = mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))). [para(161(a,1),133(a,1,2,2,2)),rewrite([19(11),44(9)])].
% 71.93/72.23 3339 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),B) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))). [para(166(a,1),133(a,1,2,2,2)),rewrite([41(2),41(8),44(11),44(9),41(9)])].
% 71.93/72.23 3632 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(114(a,1),134(a,1,2,2,2)),rewrite([41(2),41(2),41(3),41(3),41(6),41(6)])].
% 71.93/72.23 3649 mult(mult(A,i(B)),mult(A,B)) = mult(A,mult(i(B),mult(A,B))). [para(751(a,1),134(a,1,2,2,2)),rewrite([41(2),41(4),19(5),41(6)])].
% 71.93/72.23 4073 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(116(a,1),137(a,1,2,2,2)),rewrite([41(2),41(2),41(4),41(4),13(4),41(6),41(6),41(9),41(9),161(11),114(12)])].
% 71.93/72.23 7513 mult(mult(mult(i(A),i(B)),i(C)),mult(C,mult(C,mult(B,A)))) = mult(mult(i(A),i(B)),mult(C,mult(B,A))). [para(76(a,1),165(a,1,1,1)),rewrite([76(11)])].
% 71.93/72.23 7528 mult(mult(i(A),i(B)),mult(A,mult(B,A))) = mult(i(A),mult(mult(i(B),mult(A,B)),A)). [para(165(a,1),99(a,2,2,1)),rewrite([41(8),161(7),161(6),19(8),41(12)])].
% 71.93/72.23 7533 mult(mult(i(A),i(B)),mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),mult(C,mult(A,B))),i(B))). [para(100(a,1),165(a,1,2,2)),rewrite([76(2),76(7),76(6),41(5),162(7),2042(8),99(17),51(11),99(15),51(8),7513(9),76(11),100(17)]),flip(a)].
% 71.93/72.23 7970 mult(mult(i(A),mult(B,A)),B) = mult(i(A),mult(B,mult(A,B))). [para(3227(a,1),165(a,1,2,2)),rewrite([76(3),41(3),76(7),76(6),76(5),41(5),161(6),1688(8),196(9),4073(9),1910(7),746(10),44(8),7528(6),44(7),76(7),41(7),3227(13),1910(8)])].
% 71.93/72.23 8041 mult(mult(A,B),mult(B,A)) = mult(A,mult(B,mult(B,A))). [para(20(a,1),3649(a,1,2)),rewrite([41(3),952(2),161(3),1179(2),41(6),20(7)]),flip(a)].
% 71.93/72.23 8407 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),C) = mult(mult(i(A),i(B)),mult(C,mult(mult(B,A),C))). [para(115(a,1),8041(a,1,2)),rewrite([115(18),161(13)])].
% 71.93/72.23 10102 mult(mult(i(A),i(B)),mult(B,mult(mult(C,mult(mult(A,B),C)),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),mult(C,mult(mult(A,B),C))),i(B))). [para(99(a,1),7970(a,2,2,2)),rewrite([76(2),100(8),7533(9),99(13),51(9),8407(7),76(12),99(22),51(16)]),flip(a)].
% 71.93/72.23 10868 mult(mult(i(A),B),mult(mult(mult(mult(i(B),A),C),B),mult(i(B),A))) = mult(mult(C,mult(i(B),A)),mult(i(A),mult(B,A))). [para(161(a,1),180(a,1,1,2)),rewrite([196(9)]),flip(a)].
% 71.93/72.23 11702 mult(mult(i(A),i(B)),mult(mult(mult(mult(B,A),C),i(B)),mult(B,A))) = mult(mult(C,mult(B,A)),mult(i(A),mult(i(B),A))). [para(161(a,1),182(a,1,1,2)),rewrite([114(8)]),flip(a)].
% 71.93/72.23 12176 mult(mult(mult(A,B),mult(i(B),i(C))),C) = mult(i(C),mult(mult(C,B),mult(i(B),A))). [para(35(a,1),202(a,1,2,2,2,2)),rewrite([41(2),13(11),20(10),35(8),13(8)])].
% 71.93/72.23 12219 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(i(C),mult(mult(C,B),mult(i(B),mult(A,C)))). [back_rewrite(1475),rewrite([12176(7)]),flip(a)].
% 71.93/72.23 12402 mult(mult(i(A),mult(mult(A,B),C)),B) = mult(i(A),mult(mult(A,B),mult(C,B))). [para(35(a,1),204(a,1,2,2,2)),rewrite([13(8),19(7),161(10),19(11)])].
% 71.93/72.23 12429 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),mult(A,B))))) = mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)). [para(186(a,1),204(a,1,2,2)),rewrite([19(8)]),flip(a)].
% 71.93/72.23 12844 mult(i(A),mult(mult(i(B),i(A)),mult(A,mult(mult(B,mult(C,A)),i(A))))) = mult(mult(i(B),i(A)),mult(mult(A,mult(B,i(A))),C)). [para(162(a,1),206(a,1,2,2,1)),rewrite([76(3),41(9),100(9),76(13),162(17)])].
% 71.93/72.23 12845 mult(A,mult(mult(i(B),A),mult(i(A),mult(mult(B,mult(C,i(A))),A)))) = mult(mult(i(B),A),mult(mult(i(A),mult(B,A)),C)). [para(166(a,1),206(a,1,2,2,1)),rewrite([76(3),41(3),110(8),76(13),41(13),166(15)])].
% 71.93/72.23 16802 mult(mult(i(A),i(B)),mult(B,mult(C,i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),C),i(B))). [para(99(a,1),3225(a,1,1,2,2)),rewrite([76(2),99(12),51(6),10102(10),76(14),76(13),41(12),162(14),76(16),1819(18),99(19),51(10),3230(13),76(9)]),flip(a)].
% 71.93/72.23 16809 mult(mult(i(A),i(B)),mult(mult(B,mult(A,i(B))),C)) = mult(mult(i(B),i(A)),mult(A,C)). [back_rewrite(12844),rewrite([16802(10),440(9),20(7),19(8)]),flip(a)].
% 71.93/72.23 16878 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(3632(a,1),19(a,1,2)),rewrite([76(2),746(8)])].
% 71.93/72.23 16894 mult(mult(A,mult(B,C)),mult(mult(i(C),i(B)),mult(A,D))) = mult(A,mult(mult(A,mult(B,C)),mult(mult(i(C),i(B)),D))). [para(115(a,1),3632(a,1,1)),rewrite([115(19)]),flip(a)].
% 71.93/72.23 17249 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(20(a,1),4073(a,1,2)),rewrite([20(10)])].
% 71.93/72.23 17250 mult(A,mult(B,mult(mult(i(B),C),mult(A,B)))) = mult(mult(A,C),mult(A,B)). [para(44(a,1),4073(a,1,1,2)),flip(a)].
% 71.93/72.23 17360 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(4073(a,1),206(a,2,2)),rewrite([76(6),16894(10),51(8),19(8),19(12)])].
% 71.93/72.23 18129 mult(mult(A,mult(B,C)),mult(i(B),i(A))) = mult(A,mult(B,mult(C,mult(i(B),i(A))))). [para(162(a,1),275(a,2,2,2,2)),rewrite([76(7),906(9),44(10),44(8),76(12),114(16)])].
% 71.93/72.23 19238 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(1816(a,1),19(a,1,2)),flip(a)].
% 71.93/72.23 19263 mult(i(A),mult(mult(mult(A,B),mult(A,C)),A)) = mult(mult(B,A),mult(C,A)). [para(1816(a,1),100(a,2,2,1)),rewrite([41(3),19(3),44(6),41(9)]),flip(a)].
% 71.93/72.23 19316 mult(mult(mult(A,B),mult(A,C)),A) = mult(A,mult(mult(B,A),mult(C,A))). [para(1816(a,1),223(a,2,2,2,2,1)),rewrite([35(2),162(8),19238(7),44(8),161(7),19(8),14(6),35(6),19263(11),14(9)])].
% 71.93/72.23 19456 mult(A,mult(mult(i(A),mult(B,A)),mult(C,A))) = mult(mult(B,mult(A,C)),A). [para(44(a,1),19316(a,1,1,1)),rewrite([166(6)]),flip(a)].
% 71.93/72.23 19457 mult(A,mult(mult(B,A),mult(i(A),mult(C,A)))) = mult(mult(mult(A,B),C),A). [para(44(a,1),19316(a,1,1,2)),rewrite([166(7)]),flip(a)].
% 71.93/72.23 19550 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(12845),rewrite([19457(10),440(7),51(5)]),flip(a)].
% 71.93/72.23 20671 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(C,mult(mult(i(C),B),mult(A,C))). [para(17250(a,1),19(a,1,2))].
% 71.93/72.23 20674 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(20(a,1),17250(a,1,2,2,2)),rewrite([41(4),20(11)])].
% 71.93/72.23 20688 mult(mult(mult(i(A),B),C),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(mult(C,i(A)),B),A)). [para(166(a,1),17250(a,1,2,2,2)),rewrite([109(8),44(9),166(13)]),flip(a)].
% 71.93/72.23 20879 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(20(a,1),17360(a,1,1)),rewrite([20(3),41(3)]),flip(a)].
% 71.93/72.23 20881 mult(A,mult(mult(i(A),B),mult(C,A))) = mult(B,mult(mult(C,B),mult(i(B),A))). [para(44(a,1),17360(a,1,1)),rewrite([44(3),76(4),41(4)]),flip(a)].
% 71.93/72.23 20888 mult(mult(A,B),mult(mult(mult(A,B),mult(C,mult(A,B))),i(B))) = mult(A,mult(B,mult(mult(mult(A,B),C),A))). [para(161(a,1),17360(a,1,2,1))].
% 71.93/72.23 20988 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(17360(a,1),223(a,2,2,2,2,1)),rewrite([76(2),166(4),20888(13),109(13),20(5),19(8),161(6),19(7),76(7),166(9),109(16),20(10),19(11),161(9),19(10)])].
% 71.93/72.23 21038 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(12429),rewrite([20879(8),19(6)]),flip(a)].
% 71.93/72.23 21239 mult(mult(mult(A,B),i(C)),mult(C,A)) = mult(A,mult(mult(B,i(C)),mult(C,A))). [para(19(a,1),20988(a,1,1,1,1)),rewrite([19(8)])].
% 71.93/72.23 21241 mult(mult(mult(A,B),mult(A,C)),i(C)) = mult(A,mult(mult(B,mult(A,C)),i(C))). [para(20(a,1),20988(a,1,1,1,1)),rewrite([20(8)])].
% 71.93/72.23 21243 mult(mult(A,B),mult(mult(mult(mult(i(B),i(A)),C),A),B)) = mult(mult(C,A),B). [para(44(a,1),20988(a,1,1,1)),rewrite([76(5)]),flip(a)].
% 71.93/72.23 21950 mult(mult(i(A),mult(B,A)),mult(C,A)) = mult(i(A),mult(mult(B,mult(A,C)),A)). [para(19456(a,1),19(a,1,2)),flip(a)].
% 71.93/72.23 21957 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(51(a,1),19456(a,1,2,1,2)),flip(a)].
% 71.93/72.23 21958 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(51(a,1),19456(a,1,2,2)),flip(a)].
% 71.93/72.23 22104 mult(mult(A,mult(B,C)),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),C)). [para(19456(a,1),4073(a,2,2)),rewrite([44(4)])].
% 71.93/72.23 22196 mult(mult(A,mult(mult(B,mult(C,A)),C)),mult(i(C),i(A))) = mult(A,mult(B,C)). [para(22104(a,1),20(a,1,1)),rewrite([76(6)])].
% 71.93/72.23 22733 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19457(a,1),19(a,1,2)),flip(a)].
% 71.93/72.23 22737 mult(mult(mult(i(A),B),mult(C,A)),i(A)) = mult(i(A),mult(mult(B,i(A)),mult(A,C))). [para(20(a,1),19457(a,1,2,2,2)),rewrite([41(5)]),flip(a)].
% 71.93/72.23 22739 mult(mult(A,i(B)),mult(B,mult(C,i(B)))) = mult(B,mult(mult(mult(i(B),A),C),i(B))). [para(19457(a,1),44(a,1,2)),rewrite([41(10)]),flip(a)].
% 71.93/72.23 22740 mult(mult(mult(A,mult(B,i(A))),C),A) = mult(A,mult(B,mult(i(A),mult(C,A)))). [para(51(a,1),19457(a,1,2,1)),flip(a)].
% 71.93/72.23 22741 mult(mult(mult(A,B),mult(C,i(A))),A) = mult(A,mult(mult(B,A),mult(i(A),C))). [para(51(a,1),19457(a,1,2,2,2)),flip(a)].
% 71.93/72.23 22875 mult(A,mult(B,mult(mult(i(B),i(A)),mult(mult(mult(B,A),C),B)))) = mult(B,mult(A,mult(C,B))). [para(19457(a,1),276(a,2,2,2,2)),rewrite([166(4),44(5),44(3),44(4)]),flip(a)].
% 71.93/72.23 23005 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(i(A),mult(mult(A,C),B)). [para(20674(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.93/72.23 23255 mult(i(A),mult(mult(A,B),mult(C,mult(A,B)))) = mult(B,mult(mult(C,A),B)). [para(20879(a,1),206(a,1,2,2)),rewrite([19(5)]),flip(a)].
% 71.93/72.23 23276 mult(mult(A,B),mult(mult(i(B),C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(20879(a,1),275(a,1,2)),rewrite([41(6),76(6),44(8),35(6),14(6),161(6),41(10),76(10),44(12),20(12),2477(15),23255(14),161(9),19(12)])].
% 71.93/72.23 23380 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(19(a,1),21038(a,1,1,2,1)),rewrite([41(2),19(5)]),flip(a)].
% 71.93/72.23 23384 mult(mult(mult(mult(i(A),B),C),A),mult(i(A),B)) = mult(mult(i(A),mult(B,C)),B). [para(44(a,1),21038(a,1,1,2,1)),rewrite([44(6)]),flip(a)].
% 71.93/72.23 23492 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(i(C),i(B)),mult(mult(B,mult(C,A)),C)). [back_rewrite(11702),rewrite([23380(9)]),flip(a)].
% 71.93/72.23 23495 mult(mult(A,mult(i(B),C)),mult(i(C),mult(B,C))) = mult(mult(i(C),B),mult(mult(i(B),mult(C,A)),C)). [back_rewrite(10868),rewrite([23384(9)]),flip(a)].
% 71.93/72.23 23667 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(23255(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.93/72.23 23696 mult(mult(A,mult(B,mult(mult(C,A),B))),i(B)) = mult(A,mult(mult(B,C),A)). [para(100(a,1),23255(a,1,2,2)),rewrite([99(8),23667(5),19(9),161(10),51(9)])].
% 71.93/72.23 23775 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [back_rewrite(23276),rewrite([23667(6)])].
% 71.93/72.23 23899 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,mult(C,mult(i(B),A)))))) = mult(B,mult(mult(C,i(B)),A)). [para(23667(a,1),285(a,2,2,2,2)),rewrite([44(18),19(16)])].
% 71.93/72.23 23928 mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))) = mult(mult(C,i(A)),mult(A,B)). [para(44(a,1),23380(a,1,1,1)),rewrite([76(6),3339(11)]),flip(a)].
% 71.93/72.23 23934 mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [para(196(a,1),23380(a,1,1,1)),rewrite([41(2),286(11)]),flip(a)].
% 71.93/72.23 23940 mult(mult(mult(mult(A,B),C),i(A)),mult(A,mult(B,mult(A,B)))) = mult(mult(mult(A,mult(B,C)),B),mult(A,B)). [para(23380(a,1),952(a,1,1)),rewrite([906(12)]),flip(a)].
% 71.93/72.23 23945 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)). [para(23380(a,1),99(a,2,2,1)),rewrite([41(8),161(7),19(8),41(12)])].
% 71.93/72.23 24001 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(20674(a,1),23380(a,1,1,1)),rewrite([20(5),161(4),23667(4),44(9)]),flip(a)].
% 71.93/72.23 24011 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [back_rewrite(22875),rewrite([23928(9)])].
% 71.93/72.23 24023 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),B) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(286),rewrite([23934(14)])].
% 71.93/72.23 24027 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))). [para(19(a,1),24001(a,2,2,2,1)),rewrite([23667(6),51(3)])].
% 71.93/72.23 24028 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [para(20(a,1),24001(a,1,1,2,1)),rewrite([23667(10),23775(10)])].
% 71.93/72.23 24130 mult(mult(A,mult(B,i(C))),mult(C,B)) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(19(a,1),24027(a,2,2,2)),rewrite([162(4),19(5),952(9)])].
% 71.93/72.23 24139 mult(mult(A,mult(B,mult(B,i(C)))),C) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(51(a,1),24027(a,2,2,2)),rewrite([23667(6),162(4),19(5),24130(10)])].
% 71.93/72.23 24275 mult(A,mult(mult(B,mult(A,B)),mult(i(B),C))) = mult(mult(A,mult(B,A)),C). [para(44(a,1),24028(a,1,2)),flip(a)].
% 71.93/72.23 24445 mult(mult(A,mult(B,mult(C,mult(C,B)))),i(B)) = mult(A,mult(mult(B,i(A)),mult(A,mult(C,C)))). [para(909(a,1),23696(a,1,1,2,2,1)),rewrite([1179(2),24139(11)])].
% 71.93/72.23 24665 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(20(a,1),24011(a,1,1,1,1)),rewrite([41(3),22733(6),20879(12)])].
% 71.93/72.23 24693 mult(A,mult(mult(mult(mult(mult(B,A),C),i(A)),i(B)),mult(B,A))) = mult(A,mult(B,mult(A,C))). [para(99(a,1),24011(a,1,1,1)),rewrite([21239(9),161(13),51(12)])].
% 71.93/72.23 24718 mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,A)))) = mult(mult(C,mult(A,i(B))),B). [para(252(a,1),24011(a,1,1,1)),rewrite([76(3),41(2),51(6),22740(12),1278(13),44(11)]),flip(a)].
% 71.93/72.23 24765 mult(mult(A,mult(mult(A,B),C)),mult(A,B)) = mult(A,mult(mult(A,mult(B,mult(C,A))),B)). [para(24011(a,1),22104(a,2,2,1)),rewrite([51(5)])].
% 71.93/72.23 24778 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(23945),rewrite([24665(12)])].
% 71.93/72.23 24940 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(24665(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.93/72.23 25027 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(44(a,1),24940(a,1,1,1,2)),rewrite([166(6)]),flip(a)].
% 71.93/72.23 25031 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [para(51(a,1),24940(a,2,2,2,1)),rewrite([21958(5)])].
% 71.93/72.23 25329 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(44(a,1),25027(a,1,2,2,1,2)),rewrite([76(5),41(5),166(5),19550(7),17249(10)]),flip(a)].
% 71.93/72.23 25330 mult(mult(mult(A,mult(B,i(C))),C),A) = mult(A,mult(C,mult(mult(i(C),B),A))). [para(51(a,1),25027(a,1,2,2,1,2)),flip(a)].
% 71.93/72.23 25397 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [para(25027(a,1),17360(a,2)),rewrite([21950(6),161(8),20(7)])].
% 71.93/72.23 25400 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(23380(a,1),25027(a,2)),rewrite([41(4),100(7),19(8)])].
% 71.93/72.23 25409 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(20674),rewrite([25329(6),162(3),100(5)])].
% 71.93/72.23 25410 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(A,mult(mult(C,i(B)),mult(B,A))). [back_rewrite(17249),rewrite([25329(10)])].
% 71.93/72.23 25413 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(12219),rewrite([25329(13),19(14)])].
% 71.93/72.23 25512 mult(mult(i(A),i(B)),mult(mult(mult(B,C),A),B)) = mult(i(A),mult(C,mult(A,B))). [para(25397(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.93/72.23 25520 mult(mult(mult(A,mult(B,mult(i(A),i(C)))),C),A) = mult(mult(A,C),mult(i(C),B)). [para(51(a,1),25397(a,1,2,2)),rewrite([76(6)]),flip(a)].
% 71.93/72.23 25604 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(24778(a,1),25397(a,1,2,2)),rewrite([19(6),44(9)]),flip(a)].
% 71.93/72.23 25606 mult(mult(mult(A,B),mult(C,A)),i(C)) = mult(A,mult(mult(B,mult(C,A)),i(C))). [para(19(a,1),25604(a,1,1,1,1)),rewrite([19(8)])].
% 71.93/72.23 25607 mult(mult(mult(A,B),mult(mult(C,B),A)),i(A)) = mult(mult(mult(A,B),C),B). [para(25604(a,1),20(a,1,1))].
% 71.93/72.23 25643 mult(mult(A,B),mult(C,mult(C,A))) = mult(A,mult(mult(B,mult(C,C)),A)). [para(909(a,1),25604(a,2,2,1)),rewrite([24139(6),20(3),161(4),1179(7)]),flip(a)].
% 71.93/72.23 25703 mult(mult(A,mult(B,mult(i(A),i(C)))),C) = mult(mult(A,C),mult(i(C),mult(B,i(A)))). [para(17360(a,1),383(a,2,2,2)),rewrite([41(11),22733(12),44(13),23005(11),44(9),44(14)])].
% 71.93/72.23 25707 mult(A,mult(mult(mult(B,i(A)),i(C)),mult(C,A))) = mult(mult(A,C),mult(i(C),B)). [back_rewrite(25520),rewrite([25703(6),25410(7)])].
% 71.93/72.23 25708 mult(mult(A,B),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(A,C))). [back_rewrite(24693),rewrite([25707(9)])].
% 71.93/72.23 25713 mult(mult(A,mult(B,mult(B,A))),C) = mult(A,mult(B,mult(B,mult(A,C)))). [para(20(a,1),25643(a,1,1)),rewrite([23667(11),23775(11),1179(6)]),flip(a)].
% 71.93/72.23 25850 mult(mult(A,mult(B,mult(B,mult(A,C)))),i(C)) = mult(A,mult(B,mult(B,A))). [para(25713(a,1),20(a,1,1))].
% 71.93/72.23 25921 mult(mult(i(A),i(B)),mult(mult(B,mult(A,C)),A)) = mult(mult(C,mult(A,B)),i(B)). [para(25400(a,1),19(a,1,2)),rewrite([76(2)])].
% 71.93/72.23 25931 mult(mult(mult(A,mult(B,C)),B),mult(A,B)) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [para(25400(a,1),161(a,1,1)),rewrite([23667(13),51(10)])].
% 71.93/72.23 25940 mult(mult(i(A),B),mult(mult(i(B),mult(A,C)),A)) = mult(mult(C,mult(A,i(B))),B). [para(25400(a,1),196(a,1,2)),rewrite([41(12)])].
% 71.93/72.23 25993 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25400(a,1),24011(a,1,1,1)),rewrite([20(5),51(9)])].
% 71.93/72.23 26000 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(23492),rewrite([25921(14)])].
% 71.93/72.23 26001 mult(mult(mult(mult(A,B),C),i(A)),mult(A,mult(B,mult(A,B)))) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [back_rewrite(23940),rewrite([25931(13)])].
% 71.93/72.23 26003 mult(mult(A,mult(i(B),C)),mult(i(C),mult(B,C))) = mult(mult(A,mult(C,i(B))),B). [back_rewrite(23495),rewrite([25940(14)])].
% 71.93/72.23 26013 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(44(a,1),25993(a,1,1,2)),flip(a)].
% 71.93/72.23 26102 mult(i(A),mult(mult(mult(A,B),mult(C,B)),A)) = mult(mult(B,C),mult(B,A)). [para(20(a,1),25409(a,1,2,2,1,2)),rewrite([41(5),22733(6),20(9)])].
% 71.93/72.23 26145 mult(mult(i(A),B),mult(mult(mult(C,i(A)),B),A)) = mult(i(A),mult(mult(B,mult(C,mult(i(A),B))),A)). [para(25409(a,1),110(a,1)),rewrite([161(5),20(4),20688(7),161(13),20(12),41(13),20(14)])].
% 71.93/72.23 26162 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(B,mult(i(A),mult(mult(A,C),mult(A,B)))). [para(25409(a,1),206(a,1,2,2)),rewrite([20(4),20(11),41(11)]),flip(a)].
% 71.93/72.23 26187 mult(A,mult(mult(B,mult(mult(C,mult(A,B)),A)),i(A))) = mult(mult(A,B),mult(mult(C,A),B)). [para(25409(a,1),23380(a,2,1)),rewrite([17360(6),162(5),100(7),22104(4),20988(11)])].
% 71.93/72.23 26194 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25409(a,1),25031(a,1,1)),rewrite([44(4),25604(4),44(8),76(10),76(8),41(11),166(10),26000(11),51(9)])].
% 71.93/72.23 26206 mult(mult(mult(i(A),B),C),mult(i(A),mult(B,A))) = mult(i(A),mult(mult(B,mult(C,mult(i(A),B))),A)). [back_rewrite(20688),rewrite([26145(14)])].
% 71.93/72.23 26259 mult(A,mult(mult(B,mult(C,mult(B,A))),i(A))) = mult(mult(mult(A,B),C),B). [back_rewrite(25607),rewrite([26194(4),162(6)])].
% 71.93/72.23 26294 mult(A,mult(B,mult(mult(C,i(B)),mult(B,A)))) = mult(mult(A,B),mult(C,A)). [para(51(a,1),26194(a,1,2,1)),flip(a)].
% 71.93/72.23 26520 mult(i(A),mult(mult(A,B),mult(mult(B,A),C))) = mult(B,mult(B,mult(A,C))). [para(25708(a,1),206(a,1,2,2)),rewrite([19(5)]),flip(a)].
% 71.93/72.23 26542 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(mult(B,i(A)),mult(A,C)). [para(285(a,2),25708(a,2)),rewrite([41(4),196(8)]),flip(a)].
% 71.93/72.23 26619 mult(mult(A,i(B)),mult(B,mult(C,mult(i(A),B)))) = mult(A,mult(mult(C,i(A)),B)). [back_rewrite(23899),rewrite([26542(10)])].
% 71.93/72.23 26810 mult(mult(A,B),mult(i(A),mult(mult(A,C),B))) = mult(mult(mult(A,B),C),B). [para(19(a,1),26013(a,1,2,2,2)),rewrite([41(4),19(11)])].
% 71.93/72.23 26815 mult(A,mult(mult(B,i(A)),mult(mult(mult(A,i(B)),C),B))) = mult(mult(A,C),B). [para(51(a,1),26013(a,1,2,2,2)),rewrite([76(5),41(4),51(12)])].
% 71.93/72.23 26940 mult(A,mult(B,mult(mult(C,mult(B,A)),i(A)))) = mult(mult(A,B),mult(C,B)). [para(26102(a,1),100(a,2,2,1)),rewrite([44(4),19(6),21241(8)]),flip(a)].
% 71.93/72.23 27046 mult(mult(A,mult(B,mult(A,C))),i(C)) = mult(i(C),mult(mult(mult(C,A),B),A)). [para(26259(a,1),19(a,1,2)),flip(a)].
% 71.93/72.23 27048 mult(i(A),mult(mult(mult(A,B),mult(C,mult(A,mult(B,i(A))))),A)) = mult(mult(B,C),mult(A,B)). [para(19(a,1),26259(a,2,1,1)),rewrite([162(5),41(9)])].
% 71.93/72.23 27075 mult(mult(mult(A,B),mult(C,C)),B) = mult(A,mult(B,mult(C,mult(C,B)))). [para(1179(a,1),26259(a,1,2,1,2)),rewrite([25850(6)]),flip(a)].
% 71.93/72.23 27185 mult(mult(A,mult(B,mult(C,mult(C,B)))),i(B)) = mult(mult(A,B),mult(C,C)). [para(27075(a,1),20(a,1,1))].
% 71.93/72.23 27254 mult(A,mult(mult(B,i(A)),mult(A,mult(C,C)))) = mult(mult(A,B),mult(C,C)). [back_rewrite(24445),rewrite([27185(6)]),flip(a)].
% 71.93/72.23 27448 mult(mult(mult(i(A),i(B)),mult(B,mult(C,i(A)))),mult(A,A)) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(440(a,1),903(a,1,1)),rewrite([771(15)])].
% 71.93/72.23 27471 mult(mult(A,i(B)),mult(B,mult(C,A))) = mult(A,mult(mult(C,B),mult(i(B),A))). [para(440(a,1),25409(a,2)),rewrite([41(7),22741(6),19(7)]),flip(a)].
% 71.93/72.23 27480 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(27448),rewrite([27471(7),986(9),25413(8)]),flip(a)].
% 71.93/72.23 27515 mult(mult(mult(A,B),mult(C,i(B))),B) = mult(mult(mult(A,B),mult(C,A)),i(A)). [para(26294(a,1),162(a,1,1)),rewrite([27046(12),44(13)]),flip(a)].
% 71.93/72.23 27523 mult(mult(A,B),mult(C,mult(A,mult(B,i(A))))) = mult(A,mult(B,mult(mult(C,mult(A,B)),i(A)))). [para(26294(a,1),100(a,1)),rewrite([161(4),51(3),21957(14),161(12),51(11),26013(12),25606(11)])].
% 71.93/72.23 27549 mult(mult(A,mult(mult(B,mult(C,A)),i(C))),C) = mult(mult(A,B),mult(C,A)). [back_rewrite(27048),rewrite([27523(7),161(8),19(9)])].
% 71.93/72.23 27601 mult(mult(A,B),mult(mult(B,A),C)) = mult(A,mult(B,mult(B,mult(A,C)))). [para(26520(a,1),19(a,1,2)),rewrite([41(2)]),flip(a)].
% 71.93/72.23 27609 mult(A,mult(A,mult(B,mult(mult(i(B),i(A)),C)))) = mult(i(B),mult(mult(B,A),C)). [para(44(a,1),26520(a,1,2,2)),rewrite([76(6)]),flip(a)].
% 71.93/72.23 27650 mult(A,mult(A,mult(mult(i(A),i(B)),mult(B,C)))) = mult(mult(A,B),mult(i(B),C)). [para(249(a,1),26520(a,1,2,2)),rewrite([76(4),41(2),41(2),51(5),16809(12)]),flip(a)].
% 71.93/72.23 27652 mult(i(A),mult(i(A),mult(mult(A,i(B)),mult(B,C)))) = mult(mult(i(A),B),mult(i(B),C)). [para(293(a,1),26520(a,1,2,2)),rewrite([76(3),41(3),20(6),19550(14)]),flip(a)].
% 71.93/72.23 28078 mult(A,mult(B,mult(i(A),mult(mult(mult(A,C),B),A)))) = mult(mult(mult(A,B),C),mult(B,A)). [para(26810(a,1),24011(a,1,1,1)),rewrite([20(5),166(9)]),flip(a)].
% 71.93/72.23 28157 mult(A,mult(B,mult(mult(B,mult(mult(C,mult(A,B)),i(B))),i(A)))) = mult(mult(A,B),mult(B,C)). [para(100(a,1),26940(a,1,2,2,1)),rewrite([161(14),51(13)])].
% 71.93/72.23 28436 mult(mult(A,i(B)),mult(B,mult(C,C))) = mult(i(B),mult(mult(B,A),mult(C,C))). [para(27254(a,1),19(a,1,2)),flip(a)].
% 71.93/72.23 28569 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(C,mult(B,A)),i(A))))) = mult(i(A),mult(mult(A,C),B)). [para(25397(a,1),457(a,2,2,1)),rewrite([44(8),20(16)])].
% 71.93/72.23 28770 mult(i(A),mult(mult(A,i(B)),mult(B,C))) = mult(A,mult(mult(i(A),B),mult(i(B),C))). [para(24275(a,1),470(a,2,2,2)),rewrite([41(2),41(3),35(2),14(3),51(3),41(2),41(3),35(2),14(3),35(4),13(4),41(5),1278(8),1278(7),27652(8),41(8),41(9),35(8),14(9),35(10),13(10),41(11),46(11),13(11),1278(12)]),flip(a)].
% 71.93/72.23 28778 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(A,mult(mult(i(A),B),mult(i(B),C))). [back_rewrite(1278),rewrite([28770(12)])].
% 71.93/72.23 28976 mult(i(A),mult(mult(A,B),mult(i(B),C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(24275(a,1),476(a,2,2,2)),rewrite([46(3),14(4),51(4),46(4),14(5),41(6),46(6),13(6),41(6),746(8),746(7),27650(8),46(9),14(10),41(11),46(11),13(11),35(11),13(11),746(12)])].
% 71.93/72.23 28977 mult(mult(mult(A,mult(B,C)),B),mult(i(B),i(C))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(28569),rewrite([28976(10),27471(9),44(10)])].
% 71.93/72.23 28991 mult(A,mult(B,mult(mult(i(B),i(A)),mult(A,C)))) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(206),rewrite([28976(6)])].
% 71.93/72.23 29100 mult(A,mult(B,mult(i(A),mult(mult(A,C),B)))) = mult(mult(A,mult(B,C)),B). [para(23380(a,1),1017(a,2)),rewrite([26001(8),18129(9),28977(7)])].
% 71.93/72.23 29143 mult(mult(A,i(B)),mult(B,mult(mult(A,C),B))) = mult(A,mult(B,mult(mult(i(B),A),mult(C,B)))). [para(29100(a,1),330(a,2,2)),rewrite([76(5),41(4),26815(10),21957(11)])].
% 71.93/72.23 29812 mult(mult(mult(A,i(B)),mult(B,C)),i(C)) = mult(C,mult(mult(i(C),i(B)),mult(B,A))). [para(100(a,1),746(a,1,2)),rewrite([76(5),76(4),41(3),162(5),19(6),22739(9),27480(6),161(8),44(9),76(11),76(10),41(9),162(11),19(12),16809(14)])].
% 71.93/72.23 29829 mult(A,mult(mult(i(A),i(B)),mult(mult(C,B),A))) = mult(i(B),mult(C,mult(B,A))). [para(25027(a,1),746(a,1,2)),rewrite([25512(7),29143(13),44(14)]),flip(a)].
% 71.93/72.23 29976 mult(A,mult(A,mult(mult(i(A),B),mult(i(B),C)))) = mult(mult(A,i(B)),mult(B,C)). [para(230(a,1),768(a,1,2,1)),rewrite([41(3),76(6),76(5),41(5),196(7),41(4),41(7),76(10),76(9),41(9),196(11),28778(10)]),flip(a)].
% 71.93/72.23 30577 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(C,mult(mult(mult(i(C),i(A)),B),A)). [para(792(a,1),746(a,1,2)),rewrite([76(6),41(3),76(4),41(4),19(5),196(12),76(12),41(9),76(10),41(10),19(11),26206(16),22733(17),26619(15),161(13),19(14)])].
% 71.93/72.23 31276 mult(mult(A,mult(mult(B,mult(C,A)),i(A))),i(C)) = mult(i(C),mult(mult(C,A),B)). [para(12402(a,1),222(a,1,1,2)),rewrite([41(2),76(3),76(2),952(5),41(7),1004(6),41(6),41(9),19(9),1187(7),19(8),28436(6),903(5),19(3),41(2),76(3),76(2),952(5),41(7),1004(6),41(6),162(8),162(7),19(9),41(8),100(8),22739(9),27480(6),161(8),29812(7),19(8),28991(7),41(6),76(7),76(6),952(9),41(11),1004(10),41(10),162(12),162(11),19(13),41(12),100(13),22739(14),27480(11),162(8),100(10),161(13),44(14)]),flip(a)].
% 71.93/72.23 31294 mult(A,mult(B,mult(i(A),mult(mult(A,B),C)))) = mult(mult(A,B),mult(B,C)). [back_rewrite(28157),rewrite([31276(7)])].
% 71.93/72.23 31328 mult(mult(mult(A,B),C),mult(B,A)) = mult(mult(A,B),mult(C,mult(B,A))). [para(25397(a,1),31294(a,1,2,2,2)),rewrite([28078(7),44(10)])].
% 71.93/72.23 31347 mult(mult(A,B),mult(i(C),mult(A,C))) = mult(A,mult(B,mult(i(C),mult(A,C)))). [para(20(a,1),31328(a,1,1,1)),rewrite([20(8)])].
% 71.93/72.23 31855 mult(i(A),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(mult(i(B),i(A)),C))). [para(3632(a,1),880(a,1,1)),rewrite([41(3),41(4),35(3),14(3),19(3),41(2),41(3),76(3),41(6),51(5),41(5),76(5),51(7),2477(8),28976(7),2744(8),41(8),41(9),76(9),41(12),51(11),2477(12)]),flip(a)].
% 71.93/72.23 31858 mult(i(A),mult(B,mult(mult(i(B),A),C))) = mult(A,mult(i(B),mult(mult(B,i(A)),C))). [para(27601(a,1),880(a,1,2,2,2)),rewrite([76(4),41(3),51(7),166(5),51(4),76(6),41(5),19(6),19(10),44(8),2509(6),76(10),41(9),19(10)])].
% 71.93/72.23 31874 mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(24023),rewrite([31858(6),3328(7)])].
% 71.93/72.23 32136 mult(A,mult(B,mult(i(A),mult(mult(A,C),mult(A,B))))) = mult(mult(A,B),mult(mult(C,A),B)). [para(29100(a,1),16878(a,1,2,2)),rewrite([24765(8),27480(9),162(6),100(8),22104(5),26187(8),44(7)]),flip(a)].
% 71.93/72.23 32512 mult(mult(A,B),mult(mult(mult(i(B),i(A)),C),B)) = mult(A,mult(mult(i(A),C),B)). [para(19(a,1),20671(a,1,2,2)),rewrite([41(2),76(7),19(12)]),flip(a)].
% 71.93/72.23 32666 mult(mult(mult(A,i(B)),mult(mult(B,C),A)),B) = mult(A,mult(mult(mult(C,A),mult(B,i(A))),A)). [para(20881(a,1),25993(a,1,1)),rewrite([166(8),31347(9),26003(8),166(12),22733(13),109(14),44(15)]),flip(a)].
% 71.93/72.23 32914 mult(mult(mult(mult(i(A),i(B)),C),B),A) = mult(mult(i(A),i(B)),mult(mult(C,B),A)). [para(21243(a,1),19(a,1,2)),rewrite([76(2)]),flip(a)].
% 71.93/72.23 32915 mult(A,mult(mult(mult(i(A),B),mult(A,C)),i(C))) = mult(mult(B,mult(A,C)),i(C)). [para(20(a,1),21243(a,1,1)),rewrite([41(2),76(2),44(4)])].
% 71.93/72.23 32943 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(21243(a,1),23380(a,1,1,1)),rewrite([32914(12),29829(13),44(11)])].
% 71.93/72.23 32952 mult(A,mult(B,mult(mult(i(B),mult(i(A),C)),A))) = mult(B,mult(mult(i(B),C),A)). [para(26810(a,1),21243(a,1,2,1,1)),rewrite([51(8),32512(7),41(6),25330(11)]),flip(a)].
% 71.93/72.23 32995 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(mult(B,A),C)) = mult(mult(mult(C,B),A),C). [para(114(a,1),32943(a,1,1,1)),rewrite([41(2),25329(6),162(3),100(5),25409(6),31855(9)]),flip(a)].
% 71.93/72.23 33669 mult(mult(i(A),mult(mult(A,mult(B,C)),C)),i(C)) = mult(i(A),mult(mult(A,B),C)). [para(22196(a,1),27549(a,1,1,2,1)),rewrite([41(5),19(13),28977(14)])].
% 71.93/72.23 33941 mult(A,mult(mult(i(A),mult(mult(A,B),C)),C)) = mult(mult(A,mult(B,C)),C). [para(22733(a,1),23380(a,1,1,1)),rewrite([30577(9),23005(7),44(10)])].
% 71.93/72.23 33977 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(mult(mult(B,C),A),B). [para(114(a,1),33941(a,1,2,1,2)),rewrite([41(3),31855(12),32995(15)])].
% 71.93/72.23 34098 mult(A,mult(i(B),mult(mult(B,C),mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(26162),rewrite([33977(6)]),flip(a)].
% 71.93/72.23 34106 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [back_rewrite(32136),rewrite([34098(6)]),flip(a)].
% 71.93/72.23 34137 mult(i(A),mult(mult(A,B),mult(C,A))) = mult(mult(B,C),A). [para(34106(a,1),19(a,1,2)),rewrite([76(2),27480(8),20(5)])].
% 71.93/72.23 34141 mult(A,mult(mult(B,mult(A,C)),i(C))) = mult(A,mult(C,mult(mult(i(C),B),A))). [para(20(a,1),34106(a,1,1)),rewrite([22737(12),25397(13),25330(10)])].
% 71.93/72.23 34229 mult(mult(A,B),mult(i(B),C)) = mult(B,mult(mult(i(B),A),C)). [back_rewrite(31874),rewrite([34137(6)]),flip(a)].
% 71.93/72.23 34238 mult(mult(A,mult(B,C)),i(C)) = mult(C,mult(mult(i(C),A),B)). [back_rewrite(32915),rewrite([34141(7),32952(7)]),flip(a)].
% 71.93/72.23 34429 mult(mult(A,i(B)),mult(B,C)) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(29976),rewrite([34229(5),27609(7)]),flip(a)].
% 71.93/72.23 34542 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [back_rewrite(26294),rewrite([34429(4),44(5)]),flip(a)].
% 71.93/72.23 34586 mult(mult(A,mult(B,i(C))),C) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(33669),rewrite([34238(7),34429(6),24718(7)])].
% 71.93/72.23 34642 mult(i(A),mult(mult(A,mult(B,A)),C)) = mult(B,mult(A,C)). [back_rewrite(27515),rewrite([34586(5),34542(8),162(10),20(9)])].
% 71.93/72.23 34741 mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))). [back_rewrite(32666),rewrite([34542(5),19(3),34586(8),34642(8)])].
% 71.93/72.23 34742 $F # answer(goals). [resolve(34741,a,174,a)].
% 71.93/72.23
% 71.93/72.23 % SZS output end Refutation
% 71.93/72.23 ============================== end of proof ==========================
% 71.93/72.23
% 71.93/72.23 ============================== STATISTICS ============================
% 71.93/72.23
% 71.93/72.23 Given=838. Generated=1112109. Kept=34725. proofs=4.
% 71.93/72.23 Usable=469. Sos=8912. Demods=9562. Limbo=372, Disabled=24986. Hints=0.
% 71.93/72.24 Megabytes=38.70.
% 71.93/72.24 User_CPU=70.53, System_CPU=0.71, Wall_clock=71.
% 71.93/72.24
% 71.93/72.24 ============================== end of statistics =====================
% 71.93/72.24
% 71.93/72.24 ============================== end of search =========================
% 71.93/72.24
% 71.93/72.24 THEOREM PROVED
% 71.93/72.24 % SZS status Theorem
% 71.93/72.24
% 71.93/72.24 Exiting with 4 proofs.
% 71.93/72.24
% 71.93/72.24 Process 6907 exit (max_proofs) Mon Jun 13 09:38:30 2022
% 71.93/72.24 Prover9 interrupted
%------------------------------------------------------------------------------